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Analysis of JEE Main Paper 2019

JEE Main 2019 Question Paper All Questions

    Chemistry

  1. The upper stratosphere consisting of the ozone layer protects us from the sun's radiation that falls in the wavelength region of :
    a)

    600 - 750 nm

    		 b)

    400 - 550 nm
    c)

    0.8 - 1.5 nm

    		 d)

    200 - 315 nm 
    Chemistry - Environmental Chemistry
    Marked right : 9.157509157509157% students | Marked incorrect : 19.78021978021978% students | Marked not attempted : 71.06227106227107% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  2. The pair that does NOT require calcination is :
    a)

    \mathrm{ZnCO _{3} \text { and } CaO}

    		 b)

    \mathrm{Z n O \text { and } M g O}
    c)

    \mathrm{ZnO \text { and } Fe _{2} O _{3} \cdot x H _{2} O}

    		 d)

    \mathrm{Fe _{2} O _{3} \text { and } CaCO _{3} \cdot MgCO _{3}}
    Chemistry - General Principle and process of Isolation of metals General Principles and processes of Isolation Elements
    Marked right : 14.285714285714285% students | Marked incorrect : 12.82051282051282% students | Marked not attempted : 72.89377289377289% students
    (Asked in: NEET - 1970,) (Asked in: TS EAMCET - 1970)

    Correct Option: b

    View Solution

  3. The compound that is NOT a common component of photochemical smog is :
    a)

    		b)

    $\mathrm{CH}_2=\mathrm{CHCHO}$
    c)

    $\mathrm{CF}_2 \mathrm{Cl}_2$

    		 d)

    $O_3$
    Chemistry - Environmental Chemistry
    Marked right : 9.854014598540147% students | Marked incorrect : 18.248175182481752% students | Marked not attempted : 71.8978102189781% students
    (Asked in: JEE Main - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  4. The aldehydes which will NOT form Grignard product with one equivalent Grignard reagents are :
    a)

    (B), (D)

    		 b)

    (B), (C),(D)
    c)

    (B), (C) 

    		 d)

    (C), (D)
    Chemistry - Organic Compounds containing Oxygen Aldehydes, Ketones and Carboxylic Acids
    Marked right : 8.058608058608058% students | Marked incorrect : 16.117216117216117% students | Marked not attempted : 75.82417582417582% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970,) (Asked in: AEEE - 1970,) (Asked in: JEE Main NEW - 1970)

    Correct Option: a

    View Solution

  5. The major product of the following reaction is :

     
    a)

     

    		 b)

     
    c)

     

    		 d)

     
    Chemistry - Hydrocarbons Hydrocarbons
    Marked right : 10.256410256410255% students | Marked incorrect : 17.582417582417584% students | Marked not attempted : 72.16117216117216% students
    (Asked in: NEET - 1970,) (Asked in: KCET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  6. The major product of the following reaction is :
    a)

    		b)

    $\mathrm{CH}_3 \mathrm{CH}_2 \mathrm{C} \equiv \mathrm{CH}$
    c)

    $\mathrm{CH}_3 \mathrm{CH}=\mathrm{CHCH}_2 \mathrm{NH}_2$

    		 d)

    $\mathrm{CH}_3 \mathrm{CH}=\mathrm{C}=\mathrm{CH}_2$
    Chemistry - Hydrocarbons Hydrocarbons
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: KCET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  7. The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are :
    a)

    2P_{A}=3P_{B}

    		 b)

    3P_{A}=2P_{B}
    c)

    P_{A}=2P_{B}

    		 d)

    P_{A}=3P_{B}
    Chemistry - States of matter States of Matter : Gases and liquids
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 100.0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970,) (Asked in: AEEE - 1970)

    Correct Option: a

    View Solution

  8. Two solids dissociate as follows 

    A(s)\rightleftharpoons B(g)+C(g);K_{p1}=x\: atm^{2}

    D(s)\rightleftharpoons C(g)+E(g);K_{p2}=y\: atm^{2}

    The total pressure when both the solids dissociate simultaneously is :
    a)

    (x + y) atm

    		 b)

    \sqrt{x +y}\: atm

     
    c)

    x^{2}+y^{2} \: atm

    		 d)

    2 (\sqrt{x+y})atm

     
    Chemistry - Equilibrium Equilibrium
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  9. Among the following four aromatic compounds, which one will have the lowest melting point?
    a)

     

    		 b)

     
    c)

     

    		 d)

     
    Chemistry - Organic Compounds containing Oxygen Alcohols, Phenols and Ethers
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970,) (Asked in: AEEE - 1970)

    Correct Option: d

    View Solution

  10. The standard electrode potential $E^{\ominus}$ and its temperature coefficient $\left(\frac{d E^{\ominus}}{d T}\right)$ for a cell are 2 V and $-5 \times 10^{-4} V K^{-1}$ at 300K respectively. The cell reaction is 

    $Z n(s)+C u^{2+}(a q) \rightarrow Z n^{2+}(a q)+C u(s)$

    The standard reaction enthalpy $\left(\Delta_r H^{\ominus}\right)$ at 300 K in kJ mol -1 is , $\left[U s e R=8 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}\right.$ and $\left.F=96,000 \mathrm{C} \mathrm{mol}^{-1}\right]$
    a)

    -412.8

    		 b)

    -384
    c)

    192

    		 d)

    206.4
    Chemistry - Redox Reaction and Electrochemistry Electrochemistry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  11. The combination of plots which does not represent isothermal expansion of an ideal gas is :
    a)

    (A) and (D) 

    		 b)

    (A) and (C)
    c)

    (B) and (D) 

    		 d)

    (B) and (C)
    Chemistry - Chemical Thermodynamics Thermodynamics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: AEEE - 1970)

    Correct Option: c

    View Solution

  12. What is the work function (in eV) of the metal if the light of wavelength 400 \ A^0 generates photoelectrons of velocity 6\times 10^{5}ms^{-1} from it ?

    (Mass of electron = 9\times 10^{-31}kg

    Velocity of light = 3\times 10^{8}ms^{-1}

    Planck's constant = 6.626\times 10^{-34}Js

    Charge of electron = 1.6\times 10^{-19}JeV^{-1})
    a)

    0.9

    		 b)

    3.1
    c)

    2.1

    		 d)

    4
    Chemistry - Structure of Atom Atomic Structure
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: TS EAMCET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  13. Arrange the following amines in the decreasing order of basicity:
    a)

    I>II>III

    		 b)

     III>I>II
    c)

    III>II>I

    		 d)

     I>III>II
    Chemistry - Organic Compounds Containing Nitrogen Organic Compounds Containing Nitrogen
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  14. The incresing order of pKa of the following amino acids in aqueous solution is:

    $
    \text { Gly, Asp, Lys, Arg }
    $
    a)

    $A s p<G l y<A r g<L y s$

    		 b)

    $G l y<A s p<A r g<L y s$
    c)

    $
    \text { Asp }<G l y<L y s<A r g
    $

    		 d)

    $
    \text { Arg }<\text { Lys }<G l y<A s p
    $
    Chemistry - Biomolecules Biomolecules
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970,) (Asked in: AEEE - 1970)

    Correct Option: c

    View Solution

  15. If dichloromethane \mathrm{(DCM)} and water \mathrm{(H_{2}O)} are used for differential extraction, which one of the following statements is correct?
    a)

    \mathrm{D C M \text { and } H _{2} O} would stay as lower and upper layer respectively in the separating funnel 

    		 b)

    \mathrm{D C M \text { and } H _{2} O} will make a turbid/colloidal mixture.
    c)

    \mathrm{D C M \text { and } H _{2} O} would stay as upper and lower layer respectively in the separating funnel

    		 d)

    \mathrm{D C M \text { and } H _{2} O} will be miscible clearly
    Chemistry - Purification and Characterisation of Organic Compounds Organic Chemistry - some Basic principles and techniques
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 100.0% students
    (Asked in: NEET - 1970,) (Asked in: MET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  16. Consider the given plots for a reaction obeying Arrhenius equation ( $0^0 C<T<300^{\circ} C$ ) ) : (k and Ea are rate constant and activation energy , respectively )
    a)

    I is right but II is wrong.

    		 b)

    Both I and II are correct.
    c)

    I is wrong but II is right.

    		 d)

    Both I and II are wrong
    Chemistry - Chemical kinetics Chemical kinetics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  17. The major product of the following reaction is:
    a)

    		b)

    c)

    		d)

    Chemistry - Organic Compounds containing Halogens Haloalkanes and Haloarenes
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 100.0% students
    (Asked in: NEET - 1970)

    Correct Option: a

    View Solution

  18. The entropy change (in $\mathrm{kJK}^{-1} \mathrm{~kg}^{-1}$ ) associated with the conversion of 1 kg of ice at 273 K to water vapors at 383 K is:
    ( Specific heat of water liquid and water vapour are $4.2 \mathrm{kJK}^{-1} \mathrm{~kg}^{-1}$ and $2.0 \mathrm{kJK}^{-1} \mathrm{~kg}^{-1}$; heat of liquid fusion and vapourization of water are $334 \mathrm{kJkg}^{-1}$ and $2491 \mathrm{kJkg}^{-1}$, respectively ). ( $\log 273$ $=2.436, \log 373=2.572, \log 383=2.583$ )
    a)

    2.64

    		 b)

    7.9
    c)

    8.49

    		 d)

    9.26
    Chemistry - Chemical Thermodynamics Thermodynamics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: AEEE - 1970)

    Correct Option: d

    View Solution

  19. Consider the following reversible chemical reactions : 

    \mathrm{A_{2}(g)+B_{2}(g) \stackrel{K_{1}}{\rightleftharpoons} 2 A B(g)}

    \mathrm{6 A B(g) \stackrel{K_{2}}{\rightleftharpoons} 3 A_{2}(g)+3 B_{2}(g)}

    The relation between \mathrm{K_{1}\: and\: K_{2}}  is :

     
    a)

    \mathrm{K_{1}K_{2}=\frac{1}{3}}

    		 b)

    \mathrm{K_{2}=K_{1}\: ^{3}}
    c)

    \mathrm{K_{1}K_{2}=3}

    		 d)

    \mathrm{K_{2}=K_{1}\: ^{-3}}
    Chemistry - Equilibrium Equilibrium
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  20. The major product of the following reaction is :
    a)

    		b)

    c)

    		d)

    Chemistry - Organic Compounds containing Oxygen Aldehydes, Ketones and Carboxylic Acids
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  21. 25 ml of the given HCl solution requires 30 mL of 0.1 M sodium carbonate solution. What is the volume (in ml) of this HCl solution required to titrate 30 mL of 0.2 M aqueous NaOH solution?

    (Response should be in integer only like 78 or 6).
    a)

    25

    		 b)

    75
    c)

    12.5

    		 d)

    50
    Chemistry - Basic concepts of Chemistry Some basic concepts in chemistry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970)

    Correct Option: a

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  22. The coordination number of Th in $\mathrm{K}_4\left[\mathrm{Th}\left(\mathrm{C}_2 \mathrm{O}_4^{2-}\right)_4\left(\mathrm{OH}^{-}\right)_2\right]_{\text {is : }}$ :

    $$
    \left(\mathrm{C}_2 \mathrm{O}_4^{2-}=\text { Oxalato }\right)
    $$
     

    (Response should be in integer only like 10 or 5).

     
    a)

    14

    		 b)

    8
    c)

    10

    		 d)

    6
    Chemistry - Co-ordination Compounds Coordination compounds:
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: VITEEE - 1970)

    Correct Option: c

    View Solution

  23. The major product obtained in the following conversion is :
    a)

     

    		 b)

     
    c)

     

    		 d)

     
    Chemistry - Organic Compounds containing Oxygen Alcohols, Phenols and Ethers
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970,) (Asked in: AEEE - 1970)

    Correct Option: d

    View Solution

  24. The correct option with respect to the Pauling electronegativity values of the elements is :
    a)

    Ga < Ge

    		 b)

    P > S
    c)

     Si < Al

    		 d)

     Te > Se
    Chemistry - Classification of elements and periodicity in properties Classification of Elements and Periodic table
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970)

    Correct Option: a

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  25. Given the equilibrium constant :

    K_{c} of the reaction :

    Cu(s)+2Ag^{+}(aq)\rightarrow Cu^{2+}(aq)+2Ag(s) is 10 X1015, calculate the \mathrm{E_{cell}^{\varnothing }\textrm{ in V}} of this reaction at 298 K

    \left [ 2.303\frac{RT}{F}at\: 298 K=0.059 V \right ]

    (Response should be upto only two decimal digit like 78.76 or 0.78 or 0.03).
    a)

    0.4728 \times 10^{-3}

    		 b)

    \mathrm{0.04728}
    c)

    0.47

    		 d)

    0.04728 \times 10^{-3}
    Chemistry - Equilibrium Equilibrium
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 100.0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  26. Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% aqueous solution of Y. If molecular weight of X is A, then molecular weight of Y (in terms of A) is :
    a)

    1

    		 b)

    4
    c)

    3

    		 d)

    2
    Chemistry - Solutions Solutions
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970)

    Correct Option: c

    View Solution

  27. Consider the critical temperatures for the gaseous species given below

    Gas H_2 CH_4 CO_2 SO_2
    Critical Temperature (K) 33 190 304 630

    On the basis of data given above, predict which of the following gases show least adsorption on a definite amount of charcoal ?
    a)

    CH_{4}

    		 b)

    H_{2}
    c)

    SO_{2}

    		 d)

    CO_{2}
    Chemistry - Surface Chemistry Surface Chemistry Surface Chemistry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 100.0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970,) (Asked in: KEAM - 1970)

    Correct Option: b

    View Solution

  28. For a reaction, consider the plot of In k versus 1/T given in the figure. If the rate constant of this reaction at 400 K is 10-5 s-1 , then the rate constant at 500 K is :
    a)

    $10^{-6} s^{-1}$

    		 b)

    $2 \times 10^{-4} s^{-1}$
    c)

    $10^{-4} s^{-1}$

    		 d)

    $4 \times 10^{-4} s^{-1}$
    Chemistry - Chemical kinetics Chemical kinetics
    Marked right : 10.989010989010989% students | Marked incorrect : 12.087912087912088% students | Marked not attempted : 76.92307692307693% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  29. Consider the reversible isothermal expansion of an ideal gas in  closed system at two different temperature T1and T2 (T1 < T2 ). The correct graphical depiction of the dependence of work done (W) on the final volume (V) is:
    a)

    		b)

    c)

    		d)

    Chemistry - Chemical Thermodynamics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students

    Correct Option: b

    View Solution

  30. The major product of the following reaction is :
    a)

     

    		 b)

     
    c)

    		d)

    Chemistry - Hydrocarbons Hydrocarbons
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970)

    Correct Option: b

    View Solution
    31. Maths

  31. The equation of a tangent to the parabola, $x^{2}=8y$, which makes an angle $\theta$ with the positive direction of the x-axis, is :
    a)

    $x=y\cot \theta +2\tan \theta$

     

     

     

    		 b)

    $x=y\cot \theta -2\tan \theta$
    c)

    $x=x\tan \theta +2\cot \theta$

    		 d)

    $x=x\tan \theta -2\cot \theta$
    Maths - Limit , continuity and differentiability
    Marked right : 7.664233576642336% students | Marked incorrect : 10.583941605839415% students | Marked not attempted : 81.75182481751825% students
    (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  32. For x^2 \neq n\pi +1, n\in N(the set of natural numbers), the integral

    \int x\sqrt{\frac{2\sin(x^2-1) - \sin2(x^2 -1)}{2\sin(x^2-1) + \sin2(x^2 -1)}}dx is equal to:

    (where c is a constant of integration)
    a)

     

    \log_e |\frac{1}{2}\sec(x^2 -1)| +c

    		 b)

    \frac{1}{2}\log_e |\sec^2(x^2 -1)| +c
    c)

    \frac{1}{2}\log_e \left |\sec\left (\frac{x^2 -1}{2} \right )\right | +c

    		 d)

    \log_e \left |\sec^2\left (\frac{x^2 -1}{2} \right )\right | +c
    Maths - Integral Calculus
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

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  33. The value of $\int_{0}^{\pi}|\cos x|^3dx$ is :
    a)

    0

    		 b)

    $\frac{4}{3}$
    c)

    $\frac{2}{3}$

    		 d)

    $-\frac{4}{3}$
    Maths - Integral Calculus
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  34. The logical statement  $[\sim(\sim p\vee q)\vee (p\wedge r)]\wedge (\sim q \wedge r)$ is equivalent to :
    a)

    $(\sim p \wedge \sim q)\wedge r$

    		 b)

    $(p\wedge \sim q) \vee r$
    c)

    $\sim p \vee r$

    		 d)

    $(p \wedge r) \wedge \sim q$
    Maths - Mathematical reasoning
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

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  35. The equation of  a common tangent to the parabola y^{2}=4x  and the hyperbola xy=2  is :
    a)

     

    4x+2y+1=0

    		 b)

     

    x-2y+4=0
    c)

    x+y+1=0

    		 d)

     

    x+2y+4=0
    Maths - Co-ordinate geometry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  36. For each x\epsilon R, let [x] be the greatest integer less than or equal to x. then 

    \lim_{x \to0^{-} }\frac{x\left ( \left [ x \right ]+\left | x \right | \right )\sin\left [ x \right ]}{\left | x \right |}

    is equal to :
    a)

     

    1

    		 b)

     

    0
    c)

     

    -sin1

    		 d)

     

    sin1
    Maths - Limit , continuity and differentiability
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

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  37. The direction ratios of normal to the plane through the points $(0,-1,0)$ and $(0,0,1)$ and making an angle $\frac{\pi}{4}$ with the plane $y-z+5=0$ are :

     

     
    a)

    $\sqrt2,1,-1$

     

    		 b)

    $2,-1,1$

     
    c)

    $2,\sqrt2,-2$

     

    		 d)

    $2\sqrt3,1,-1$

     
    Maths - Three Dimensional Geometry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  38. In a triangle, the sum of lengths of two sides is $x$ and the product of the lengths of the same two sides is $y$. If $x^2-c^2=y$, where c is the length of the third side of the triangle, then the circumradius of the triangle is:
    a)

    $\frac{y}{\sqrt{3}}$

    		 b)

    $\frac{c}{\sqrt{3}}$
    c)

    $\frac{c}{3}$

    		 d)

    $\frac{3}{2} y$
    Maths - Trigonometry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: b

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  39. Let $f(x)=\left\{\begin{array}{cc}-1, & -2 \leq x<0 \\ x^2-1, & 0 \leq x \leq 2\end{array}\right.$ and $g(x)=|f(x)|+f(|x|)$. Then, in the interval $(-2,2), \mathrm{g}(x)$ is:
    a)

    not differentiable at two points

    		 b)

    differentiable at all points
    c)

    not differentiable at one point

    		 d)

    not continuous
    Maths - Limit , continuity and differentiability
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  40. If x\log_{e}(\log_{e}x)-x^{2}+y^{2}=4\: \: (y> 0),  then   \frac{dy}{dx}  at  x=e is equal to :
    a)

     

    \frac{(1+2e)}{2\sqrt{4+e^{2}}}

    		 b)

     

    \frac{(1+2e)}{\sqrt{4+e^{2}}}
    c)

     

    \frac{e}{\sqrt{4+e^{2}}}

    		 d)

     

    \frac{(2e-1)}{2\sqrt{4+e^{2}}}
    Maths - Limit , continuity and differentiability
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  41. \lim_{n\rightarrow \infty }\left ( \frac{n}{n^{2}+1^{2}}+\frac{n}{n^{2}+2^{2}}+\frac{n}{n^{2}+3^{2}}+\cdots +\frac{1}{5n} \right )   is equal to : 
    a)

    \tan ^{-1}\left ( 3 \right )

     

     

     

    		 b)

     

    \frac{\pi }{2}
    c)

     

    \tan ^{-1}\left ( 2 \right )

    		 d)

     

    \frac{\pi }{4}
    Maths - Integral Calculus
    Marked right : 7.326007326007327% students | Marked incorrect : 14.285714285714285% students | Marked not attempted : 78.3882783882784% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  42. \lim_{x\rightarrow 1-}\frac{\sqrt{\pi }-\sqrt{2\sin ^{-1}x}}{\sqrt{1-x}} is equal to:
    a)

    \sqrt{\frac{2}{\pi }}

     

    		 b)

    \sqrt{\pi }
    c)

    \sqrt{\frac{\pi }{2}}

    		 d)

    \frac{1}{\sqrt{2\pi }}
    Maths - Limit , continuity and differentiability
    Marked right : 5.4945054945054945% students | Marked incorrect : 13.553113553113553% students | Marked not attempted : 80.95238095238095% students
    (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  43. There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men and the women by 84, then the value of m is
    a)

    9

    		 b)

    11
    c)

    12

    		 d)

    7
    Maths - Permutations and combinations
    Marked right : 2.564102564102564% students | Marked incorrect : 5.128205128205128% students | Marked not attempted : 92.3076923076923% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  44. If the sum of the first 15 terms of the series \left ( \frac{3}{4} \right )^{3}+\left ( 1\frac{1}{2} \right )^{3}+\left ( 2\frac{1}{4} \right )^{3}+3^{3}+\left ( 3\frac{3}{4} \right )^{3}+\cdots is equal to 225 k, then k is equal to 
    a)

    9

    		 b)

    27
    c)

    108

    		 d)

    54
    Maths - Sequence and series
    Marked right : 3.296703296703297% students | Marked incorrect : 4.761904761904762% students | Marked not attempted : 91.94139194139194% students
    (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  45. The number of integral values of m for which the quadratic expression, \left ( 1+2m \right )x^{2}-2\left ( 1+3m \right )x+4\left ( 1+m \right ),x\in R, is always positive, is : 
    a)

    6

    		 b)

    7
    c)

    8

    		 d)

    3
    Maths - Complex numbers and quadratic equations
    Marked right : 10.622710622710622% students | Marked incorrect : 10.256410256410255% students | Marked not attempted : 79.12087912087912% students
    (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  46. The expression $\sim \left ( \sim p\rightarrow q\right )$ is logically equivalent to : 
    a)

    $p\wedge q$

    		 b)

    $\sim p\wedge q$
    c)

    $p\wedge\sim q$

    		 d)

    $\sim p\wedge\sim q$
    Maths - Mathematical reasoning
    Marked right : 7.664233576642336% students | Marked incorrect : 12.043795620437956% students | Marked not attempted : 80.2919708029197% students
    (Asked in: JEE Main - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  47. The value of $\lambda$ such that sum of the squares of the roots of the quadratic equation, $x^2+(3-\lambda) x+2=\lambda_{\text {has the least value is: }}$ :
    a)

    $\frac{15}{8}$

    		 b)

    1
    c)

    2

    		 d)

    $\frac{4}{9}$
    Maths - Complex numbers and quadratic equations
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  48. Let A = \left\{ \theta \in \left (-\frac{\pi}{2}, \pi \right ): \frac{3+2 i\sin\theta}{1-2i\sin\theta} \textup{\;is\;purely\;imaginary}\right \}, then the sum of the elements in A is:
    a)

    \frac{5\pi}{6}

    		 b)

    \pi
    c)

    \frac{3\pi}{4}

    		 d)

    \frac{2\pi}{3}
    Maths - Complex numbers and quadratic equations
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  49. Let z = \left (\frac{\sqrt3}{2} + \frac{i}{2} \right )^5 + \left (\frac{\sqrt3}{2} - \frac{i}{2} \right )^5. If R(z) and I(z) respectively denote the real and imaginary parts of z, then:
    a)

    R(z) < 0 and I(z) > 0

    		 b)

    R(z) > 0 and I(z) >0
    c)

    R(z) = -3

    		 d)

    I(z) =0
    Maths - Complex numbers and quadratic equations
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  50. Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. Let X denote the random variable of the number of aces obtained in the two drawn cards. Then P(X= 1) + P(X = 2) equals:
    a)

    \frac{49}{169}

    		 b)

    \frac{52}{169}
    c)

    \frac{24}{169}

    		 d)

    \frac{25}{169}
    Maths - Statistics and Probability
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students

    Correct Option: d

    View Solution

  51. If \int_0^x f(t)dt = x^2 + \int_x^1t^2f(t)dt, then f\left(\frac{1}{2} \right ) is
    a)

    \frac{6}{25}

    		 b)

    \frac{4}{5}
    c)

    \frac{24}{25}

    		 d)

    \frac{18}{25}
    Maths - Limit , continuity and differentiability
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  52. The positive value of \lambda for which the co-efficient of x^2 in the expression x^2\left(\sqrt x +\frac{\lambda}{x^2} \right )^{10} is 720 is:
    a)

    2\sqrt2

    		 b)

    \sqrt{5}
    c)

    3

    		 d)

    4
    Maths - Binomial theorem and its simple applications
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  53. Let N be the set of natural numbers and two functions f and g be defined as f,g :N\rightarrow Nsuch that

    f(n) = \left\{\begin{matrix} \frac{n+1}{2}\;if\;n\;is\;odd\\ \frac{n}{2}\;if\;n\;is\;even \end{matrix}\right. and g(n) = n - (-1)^n. Then fog is:
    a)

    Onto but not one-one.

    		 b)

    Neither one-one nor onto.
    c)

    one-one but not onto.

    		 d)

    Both one-one and onto.
    Maths - Sets, Relations and Functions
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: MHT-CET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  54. Let

    S = \left \{ (x,y) \in \mathbb R^2: \frac{y^2}{1+r} - \frac{x^2}{1-r} = 1\right \},

    where r\neq \pm 1. Then S represents:
    a)

    A hyperbola whose eccentricity is \frac{2}{\sqrt{1-r}} , when  0 < r <1.

    		 b)

    A hyperbola whose eccentricity is \frac{2}{\sqrt{1+r}}, when  0 < r <1.
    c)

    An ellipse whose eccentricity is \sqrt{\frac{2}{{1+r}}} , when  r > 1.

    		 d)

    An ellipse whose eccentricity is \frac{1}{\sqrt{1+r}}, when  r > 1.
    Maths - Co-ordinate geometry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  55. Three circles of radii $a, b, c(a<b<c)$ touch each other externally. If they have an x-axis as a common tangent, then:
    a)

    $\frac{1}{\sqrt a} = \frac{1}{\sqrt b}+\frac{1}{\sqrt c}$

    		 b)

    $\frac{1}{\sqrt b} =\frac{1}{\sqrt a} + \frac{1}{\sqrt c}$
    c)

    a,b,c are in AP

    		 d)

    $\sqrt a, \sqrt b, \sqrt c,$ are in AP
    Maths - Co-ordinate geometry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970,) (Asked in: AEEE - 1970)

    Correct Option: a

    View Solution

  56. If y = y(x) is the solution of the differential equation x\frac{dy}{dx} +2y = x^2 satisfying y (1) =1, then y\left(\frac{1}{2} \right ) is equal to
    a)

    \frac{7}{64}

    		 b)

    \frac{1}{4}
    c)

    \frac{49}{16}

    		 d)

    \frac{13}{16}
    Maths - Differential equations
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  57. Consider a class of 5 girls and 7 boys. The number of different teams consisting of 2 girls and 3 boys that can be formed from this class, if there are two specific boys A and B, who refuse to be members of the same team, is:
    a)

    500

    		 b)

    200
    c)

    300

    		 d)

    250
    Maths - Permutations and combinations
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  58. Let Z be the set of integers. If A=\left \{ x\in Z\: \: :2^{\left ( x+2 \right )\left ( x^{2} -5x+6\right )}=1 \right \} and  B=\left \{ x\in Z\: \: :-3< 2x-1< 9 \right \}, then the number of subsets of the set A\times B is:
    a)

    2^{10}

    		 b)

    2^{18}
    c)

    2^{15}

    		 d)

    2^{12}
    Maths - Complex numbers and quadratic equations
    Marked right : 7.6923076923076925% students | Marked incorrect : 14.652014652014653% students | Marked not attempted : 77.65567765567766% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  59. The Axis of a parabola lies along the x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive $x$-axis then which of the following points does not lie on it?
    a)

    $(5,2 \sqrt{6})$

    		 b)

    $(8,6)$
    c)

    $(6,4 \sqrt{2})$

    		 d)

    $(4,-4)$
    Maths - Co-ordinate geometry
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  60. If \sin ^{4 }\alpha+4\cos ^{4}\beta+2=4\sqrt{2}\sin \alpha \cos \beta and \alpha ,\beta \in \left [ 0,\pi/2 \right ], then \cos \left ( \alpha +\beta \right )-\cos \left ( \alpha -\beta \right ) is equal to:
    a)

    -1

    		 b)

    \sqrt{2}
    c)

    -\sqrt{2}

    		 d)

    0
    Maths - Trigonometry
    Marked right : 6.593406593406594% students | Marked incorrect : 13.186813186813188% students | Marked not attempted : 80.21978021978022% students
    (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution
    61. Physics

  61. Half a mole of an ideal monoatomic gas is heated at a constant pressure of 1 atm from 20o C to 900 C. Work done by the gas (in joules)  is close to:(Gas constant R = 8.31 J/mol.K)
    a)

    291

    		 b)

    581
    c)

    146

    		 d)

    73
    Physics - Thermodynamics Thermodynamics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  62. Consider the nuclear fission

    Ne^{20}\rightarrow 2He^{4}+C^{12}

    Given that the binding energy/ nucleon of Ne^{20}, He^{4}\: and \: C^{12}are respectively,

    8.03 MeV, 7.07MeV and 7.86 MeV ,identify the correct statement:
    a)

    energy of 3.6 MeV will be released

    		 b)

    the energy of 9.72 MeV has to be supplied
    c)

    energy of 12.4 MeV will be supplied

    		 d)

    8.3 MeV energy will be released
    Physics - Atoms And Nuclei Atoms And Nuclei
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970)

    Correct Option: b

    View Solution

  63. Consider a Young's double slit experiment as shown in figure. What should be the slit separation d in terms of wavelength $\lambda$ such that the first minima occurs directly in front of the slit (S1)?

     
    a)

    $\frac{\lambda}{2(5-\sqrt{2})}$

    		 b)

    $\frac{\lambda}{(\sqrt{5}-2)}$
    c)

    $\frac{\lambda}{2(\sqrt{5}-2)}$

    		 d)

    $\frac{\lambda}{(5-\sqrt{2})}$
    Physics - Optics Optics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: KCET - 1970,) (Asked in: AP EAMCET - 1970,) (Asked in: TS EAMCET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  64. The modulation frequency of an AM radio station is 250 kHz, which is 10% of the carrier wave. If another AM station approaches you for a license what broadcast frequency will you allot?
    a)

    2250 kHz

    		 b)

    2750 kHz
    c)

    2900 kHz

    		 d)

    2000 kHz
    Physics - Communication Systems
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  65.  When a certain photosensitive surface is illuminated with monochromatic light of frequency \nu, the stopping potential for the photo-current is - \frac{V_{0}}{2} . When the surface is illuminated by monochromatic light of frequency \frac{\nu}{2} , the stopping potential is - V_{0} . The threshold frequency for photoelectric emission is : 
    a)

     2\nu 

     

    		 b)

    \frac{3\nu}{2}

     
    c)

    \frac{4\nu}{3}

    		 d)

    \frac{5\nu}{3}
    Physics - Dual Nature of Matter and Radiation Dual Nature of Matter and Radiation
    Marked right : 28.57142857142857% students | Marked incorrect : 12.454212454212454% students | Marked not attempted : 58.97435897435898% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  66. The Self-induced emf of a coil is 25 volts, When the current in it is changed at a uniform rate from 10 A to 25 A in 1s, the change in the energy (in J) of the inductance is :
    a)

    437.5

    		 b)

    740
    c)

    637.5

    		 d)

    540
    Physics - Electromagnetic Induction and Alternating currents Electromagnetic Induction and alternating Currents
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  67. Charge $-q$ and $+q$ located at $A$ and $B$, respectively, constitute an electric dipole. Distance $A B=2 a, O$ is the midpoint of the dipole and $O P$ is perpendicular to $A B$. A charge $Q$ is places at $P$ where $O P=y$ and $y>>2 a$. The charge $Q$ experiences an electrostatic force $F$. If $Q$ is now moved along the equatorial  line to P' such that $O P^{\prime}=\left(\frac{y}{3}\right)$, the force on Q will be close to: $\left(\frac{y}{3}>>2 a\right)$,

     
    a)

    9F

    		 b)

    27 F
    c)

    F/3

    		 d)

    3F
    Physics - Electrostatics Electrostatics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  68. A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still water. If pressed downward slightly and released, it starts performing simple harmonic motion at angular frequency \omega . If the radius of the bottle is 2.5 cm, then \omega ( rad s-1) is close to : (density of water = 103 Kg/m3)
    a)

    7.90

     

    		 b)

    2.50
    c)

    1.25

    		 d)

    3.66
    Physics - Oscillations and Waves
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students

    Correct Option: a

    View Solution

  69. A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO', passing through the centre of D1, as shown in the figure will be:
    a)

    3MR2

    		 b)

    $\frac{2}{3} M R^2$
    c)

     

    MR2

    		 d)

     

    $\frac{4}{5} M R^2$
    Physics - Rotational Motion Motion of System Of Particles and Rigid Body
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  70. The circuit shown below contains two ideal diodes, each with a forward resistance of $50 \Omega$. If the battery voltage is 6 V, the current through the $100 \Omega$ resistance(in Amperes) is:

     

     
    a)

    0.002

    		 b)

    0.036
    c)

    0.030

    		 d)

    0.027
    Physics - Electronic devices Electronic devices
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: VITEEE - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  71. A slab is subjected to two forces $\vec{F}_{1}$ and $\vec{F}_{2}$ of same magnitude $\mathrm{F} $ as shown in the figure. Force $ \vec{F}_2$ in XY - plane while force $\vec{F}_1$ acts along z- axis at the point $[2 \vec{i}+3 \vec{j}]$. The moment these forces about point $O$ will be:
    a)

     $(3 \widehat{i}-2 \widehat{j}+3 \widehat{k}) F$

    		 b)

    $(3 \widehat{i}+2 \widehat{j}+3 \widehat{k}) F$S
    c)

    $(3 \widehat{i}-2 \widehat{j}-3 \hat{k}) F$s

    		 d)

    $(3 \widehat{i}+2 \widehat{j}-3 \widehat{k}) F$
    Physics - Rotational Motion Motion of System Of Particles and Rigid Body
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  72. A liquid of density \rho is coming out of a hose pipe of radius a with horizontal speed v and hits a mesh. 50% of the liquid passes through the mesh unaffected. 25% loses all of its momentum and 25% comes back with the same speed. The resultant pressure (in \rhov2) on the mesh will be:
    a)

    0.75

    		 b)

    0.25
    c)

    1

    		 d)

    0.5
    Physics - Properties of Solids and Liquids Properties of bulk matter
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  73. In the figure shown below the charge on the left plate of the 10$\mu F$ capacitor is - 30$\mu C$. The charge on the right plate of the 6$\mu F$ capacitor is:
    a)

    $-18 \mu C$

    		 b)

    $+18 \mu C$
    c)

    $+12 \mu C$

    		 d)

    $-12 \mu C$
    Physics - Electrostatics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  74. The Wheatstone bridge shown in the figure here gets balanced when the carbon resistor used as $\mathrm{R}_1$ has the colour code (Orange, Red, Brown) The resistors $R_2$ and $R_4$ are $80 \Omega$ and $40 \Omega$, respectively. Assuming that the colour code for the carbon resistors gives their accurate values, the colour code for the carbon resistor, used as $\mathrm{R}_3$, would be :

     
    a)

    Brown, Blue, Brown

    		 b)

    Brown, Blue, Black
    c)

    Red, Green, Brown

    		 d)

    Grey, Black, Brown
    Physics - Current Electricity Current Electricity
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  75. Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see figure) The moment of inertia (MR2) of the system about the axis passing perpendicularly through the centre of the rod is :

     
    a)

    10.13

    		 b)

    9.13
    c)

    13.93

    		 d)

    1.13
    Physics - Rotational Motion Motion of System Of Particles and Rigid Body
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

    View Solution

  76. The electric field of a plane-polarised electromagnetic wave in free space at time t = 0 is given by an expression \vec{E}\left ( x,y \right )= 10 \hat{j}\cos \left [ \left ( 6x +8z\right ) \right ]

    The magnetic field \vec{B} \left ( x,z,t \right ) is given by :( c is the velocity of light)

     
    a)

    \frac{1}{c}\left ( 6\hat{k}-8\hat{i} \right )\cos \left [ \left ( 6x+8z-10ct \right ) \right ]

    		 b)

    \frac{1}{c}\left ( 6\hat{k}-8\hat{i} \right )\cos \left [ \left ( 6x+8z+10ct \right ) \right ]
    c)

    \frac{1}{c}\left ( 6\hat{k}+8\hat{i} \right )\cos \left [ \left ( 6x-8z+10ct \right ) \right ]

    		 d)

    \frac{1}{c}\left ( 6\hat{k}+8\hat{i} \right )\cos \left [ \left ( 6x+8z-10ct \right ) \right ]
    Physics - Electromagnetic Waves
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: MET - 1970)

    Correct Option: a

    View Solution

  77. A particle starts from the origin at time t=0 and moves alongs the positive x -axis. The graph of  of velocity with respect to time is shown in figure. What is the position (in m)  of the particle at time t= 5s?

     

     

     
    a)

    9

    		 b)

    3
    c)

    10

    		 d)

    6
    Physics - Kinematics Kinematics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  78. A hoop and a solid cylinder of the same mass and radius are made of permanent magnetic material with their magnetic moment parallel to their respective axes. But the magnetic moment of the hoop is twice that of a solid cylinder. They are placed in a uniform magnetic field in such a manner that their magnetic moment makes a small angle with the field. If the oscillation periods of the hoop and cylinder are T_{h} and T_{c} respectively, then:

     

     
    a)

    T_{h}=0.5T_{c}

    		 b)

    T_{h}=2T_{c}
    c)

    T_{h}=1.5T_{c}

    		 d)

    T_{h}=T_{c}
    Physics - Magnetic Effects of Current and Magnetism
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  79. A conducting circular loop made of a thin wire has area 3.5\times 10^{-3}m^{2}  and resistance 10\Omega. It is placed perpendicular to a time-dependent magnetic field B(t)=(0.4T)sin(50\pi t). The field is uniform in space. Then the net charge (in mC) flowing through the loop duringt=0\, s\; \; and\: \: t=10\, ms is close to :
    a)

    0.14

    		 b)

    7
    c)

    21

    		 d)

    6
    Physics - Electromagnetic Induction and Alternating currents Electromagnetic Induction and alternating Currents
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

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  80. A particle which is experiencing a force, given by \vec{F}= 3\vec{i}-12\vec{j},undergoes a displacement of \vec{d}= 4\vec{i}. If the particle had a kinetic energy of 3J at the beginning of the displacement, What is its kinetic energy (in Joule) at the end of the displacement?
    a)

    10

    		 b)

    9
    c)

    15

    		 d)

    12
    Physics - Work Energy and Power Work, energy and power
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: c

    View Solution

  81. A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m<<M). When the car is at rest, the speed of transverse waves in the string is 60 ms-1. When the car has acceleration a,the wave-speed increases to 60.5 ms-1.The value of a , in terms of gravitational acceleration g, is closest to :
    a)

    \frac{g}{30}\:

    		 b)

    \: \frac{g}{5}\:
    c)

    \: \frac{g}{10}\:

    		 d)

    \: \frac{g}{20}\: \:
    Physics - Oscillations and Waves
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students

    Correct Option: b

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  82. The force of interaction between two atoms is given by F = \alpha \beta exp\left [ -\frac{x^{2}}{\alpha k T} \right ]; where x is the distance, k is the Boltzmann constant and T is temperature and \alpha and \beta are two constants. The dimensions of \beta is:
    a)

    M2L2T-2

    		 b)

    MLT-2
    c)

    M0LT-4

    		 d)

     

    M2LT-4
    Physics - Physics and Measurement Physical World & Measurement
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 100.0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: d

    View Solution

  83. An infinitely long current-carrying wire and a small current-carrying loop are in the plane of the paper as shown. The radius of the loop is a and the distance of its centre from the wire is d (d>>a). If the loop applies a force F on the wire then :

     
    a)

    $F=0$

    		 b)

    $F \alpha\left(\frac{a}{d}\right)$
    c)

    $F \alpha\left(\frac{a^2}{d^3}\right)$

    		 d)

    $F \alpha\left(\frac{a}{d}\right)^2$
    Physics - Magnetic Effects of Current and Magnetism
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: d

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  84. Three charges Q, +q and +q are placed at vertices of a right-angled isosceles triangle as shown below. The net electrostatic energy of the configuration is zero, if the value of Q is:
    a)

    \frac{-q}{1+\sqrt{2}}

    		 b)

    \frac{-\sqrt{2}q}{\sqrt{2}+1}
    c)

    +q

    		 d)

    -2q
    Physics - Electrostatics Electrostatics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

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  85.  A block kept on a rough inclined plane , as shown in the figure , remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N . The coefficient of static friction between the block and the plane is : 

    [Take g = 10 m/s2] 
    a)

    $\frac{\sqrt{3}}{2}$

    		 b)

    $\frac{2}{3}$
    c)

    $\frac{\sqrt{3}}{4}$

    		 d)

    $\frac{1}{2}$
    Physics - Laws of motion Laws of motion
    Marked right : 17.582417582417584% students | Marked incorrect : 13.553113553113553% students | Marked not attempted : 68.86446886446886% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  86. Two satellites, $A$ and $B$, have masses $m$ and $2 m$ respectively. $A$ is in circular orbit of radius $R$, and $B$ is in a circular orbit of radius 2 R around the earth. The ratio of their kinetic energies, $\frac{T_A}{T_B}$, is :
    a)

    1

    		 b)

    0.5
    c)

    0.33

    		 d)

    2
    Physics - Gravitation Gravitation
    Marked right : 19.413919413919416% students | Marked incorrect : 26.73992673992674% students | Marked not attempted : 53.84615384615385% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

    View Solution

  87. The mean intensity of radiation on the surface of the sun is about 108 W/m2. The rms value of the corresponding magnetic field is closest to: 
    a)

    1 T

    		 b)

    10-4 T
    c)

    102 T

    		 d)

    10-2 T
    Physics - Electromagnetic Waves Electromagnetic Waves
    Marked right : 15.75091575091575% students | Marked incorrect : 12.087912087912088% students | Marked not attempted : 72.16117216117216% students
    (Asked in: NEET - 1970,) (Asked in: MET - 1970,) (Asked in: JEE Main NEW - 1970)

    Correct Option: b

    View Solution

  88. A block of mass 10 Kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P (in N), such that the block does not move downward ? (take g =10ms-2) (give answer till 1 decimal place)
    a)

    31.3

    		 b)

    18
    c)

    23

    		 d)

    25
    Physics - Laws of motion Laws of motion
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: a

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  89. A parallel plate capacitor is made of two square plates of side 'a', separated by a distance d (d<<a). The lower triangular portion is filled with a dielectric of dielectric constant K, as shown in the figure. The capacitance of this capacitor is :

     
    a)

    $\frac{K \epsilon_0 a^2}{2 d(K+1)}$

    		 b)

    $\frac{K \epsilon_0 a^2}{d(K-1)} \ln K$
    c)

    $\frac{K \epsilon_0 a^2}{d} \ln K$

    		 d)

    $\frac{1}{2} \frac{K \epsilon_0 a^2}{d}$
    Physics - Electrostatics Electrostatics
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: JEE Main - 1970,) (Asked in: NEET - 1970,) (Asked in: BITSAT - 1970)

    Correct Option: b

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  90.  A vertical closed cylinder is separated into two parts by a frictionless piston of mass 'm' and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l1 and that below the piston is l2, such that l1>l2. Each part of the cylinder contains 'n' moles of an ideal gas at equal temperature T . If the piston is stationary, its mass 'm' will be given by : 

    ( R is the universal gas constant and 'g' is the acceleration due to gravity ) 
    a)

     $\frac{n R T}{g}\left[\frac{1}{l_2}+\frac{1}{l_1}\right]$

    		 b)

    $\frac{R T}{n g}\left[\frac{l_1-3 l_2}{l_1 l_2}\right]$
    c)

    $\frac{n R T}{g}\left[\frac{l_1-l_2}{l_1 l_2}\right]$

    		 d)

    $\frac{R T}{g}\left[\frac{2 l_1+l_2}{l_1 l_2}\right]$
    Physics - Kinetic theory of Gases Behaviour of Perfect Gas and Kinetic theory
    Marked right : 0% students | Marked incorrect : 0% students | Marked not attempted : 0% students
    (Asked in: NEET - 1970,) (Asked in: MET - 1970)

    Correct Option: c

    View Solution
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