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A sum of money under compound interest doubles itself in 4 years. In how many years will it become 16 times itself? 

 

Option: 1

12 years


Option: 2

16 years


Option: 3

8 years


Option: 4

None of these


16 years 

 

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Posted by

Debjani Behera

A certain loan amounts, under compound interest, compounded annually earns an interest of Rs.1980 in the second year and Rs.2178 in the third year. How much interest did it earn in the first year?

Option: 1

Rs.1600


Option: 2

Rs.1800


Option: 3

 Rs.1900


Option: 4

None of these

 


xyz pqr abc year tt

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Posted by

wgqefiqyg

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Read the passage below and answer the following questions.

Cheating is considered a criminal offence under the Indian Penal Code. It is done to gain profit or advantage from another person by using some deceitful means. The person who deceives another knows for the fact that it would place the other person in an unfair situation. Cheating as an offence can be made punishable under Section 420 of the IPC. Scope of Section 415 Cheating is defined under Section 415 of the Indian Penal Code as whoever fraudulently or dishonestly deceives a person to induce that person to deliver a property to any person or to consent to retain any property. If a person intentionally induces a person to do or omit to do any act which he would not have done if he was not deceived to do so and the act has caused harm to that person in body, mind, reputation, or property, then the person who fraudulently, dishonestly or intentionally induced the other person is said to cheat. Any dishonest concealment of facts that can deceive a person to do an act that he would not have done otherwise is also cheating within the meaning of this section. Essential Ingredients of Cheating requires · deception of any person. Fraudulently or dishonestly inducing that person to deliver any property to any person or to consent that any person shall retain any property; or · intentionally inducing a person to do or omit to do anything which he would not do or omit if he were not so deceived, and the act or omission causes or is likely to cause damage or harm to that person in body, mind, reputation or property.

Deceit– a tort arising from an untrue or false statement of facts which are made by a person, recklessly or knowingly, with an intention that it shall be acted upon by the other person, who would suffer damages as a result. 

Fraud – a false or untrue representation of the fact, that is made with the knowledge of its falsity or without the belief in its truth or a reckless statement that may or may not be true, with an intention to induce a person or individual to act independent of it with the result that the person acts on it and suffers damages and harm. In other words, it is a wrong act or criminal deception with an intention to result in financial or personal gain.

Question :- D went to a moneylender, Z, for the loan. D intentionally pledges the gold article with Z taking the loan. D knows that the article is not made of gold. After a few days, D leaves the village. Decide.

Option: 1

-


Option: 2

D has committed cheating as well as fraud 
 


Option: 3

D has not committed the offence of cheating 

 


Option: 4

D has committed an act which is an offence of cheating as well as the tort of deceit


As per section 415 of IPC, D has intentionally pledged the gold article with Z, his intention is clearly to deceive Z and cause him financial loss hence D would be liable for the offence of Cheating. Actions of D are also held liable as a tort of deceit.

Hence option (d) is correct. 

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Posted by

Rishabh Jain

A 10 \Omega, 20\, \mathrm{mH} coil carrying constant current is connected to a battery of 20 \mathrm{~V} through a switch. Now after switch is opened current becomes zero in 100 \mu \mathrm{s}. The average e.m.f. induced in the coil is____________ \mathrm{V}.

Option: 1

400


Option: 2

-


Option: 3

-


Option: 4

-


\mathrm{R= 10\, \Omega }
\mathrm{L= 20 \times 10^{-3}H}

Current in the steady state ,
\mathrm{I_{0}= \frac{v}{R}= 2A}

\mathrm{Avg.Emf\: induced= e_{avg}= L\left |\frac{\Delta I}{\Delta t} \right |}
                                                      \mathrm{= 200\times10^{-3}\left | \frac{2}{100\times 10^{-6}}\right |}
\mathrm{\Rightarrow e_{avg}= 400}    

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Posted by

Rishabh Jain

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Two capacitors \mathrm{A}  and \mathrm{B} having capacitors  \mathrm{10 \mu \mathrm{F}}  and  \mathrm{20 \mu \mathrm{F}}  are connected in series with a \mathrm{12 \mathrm{~V}} battery. The ratio of the charges on.

Option: 1

0.5: 1 \\


Option: 2

1: 1 \\


Option: 3

2: 1 \\


Option: 4

2: 4


when capacitors are connected in series they carry same charge. the ratio is  1: 1

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Posted by

Riya

 Equivalent capacitor between A & B  is. 

Option: 1

\mathrm{ \frac{4}{5} \mathrm{~F} \\ }


Option: 2

\mathrm{3 / 5 \mathrm{~F} }


Option: 3

\mathrm{ 2 \mathrm{~F} \\ }


Option: 4

\mathrm{ 4 \mathrm{~F} }


Equivalent circuit-


\mathrm{C_{\text {eq. }} =\frac{|\times|}{1+1}+1 }
=\frac{1}{2}+1=3 / 2 \mathrm{~F}
\mathrm{c_{e q}=\frac{3}{2} F} and F are connected in series.

\mathrm{C_{e q}=\frac{\frac{3}{2} \times 1}{\frac{3}{2}+1}=\frac{3}{2} \times \frac{2}{5}=\frac{3}{5} F }
 

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Posted by

jitender.kumar

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In the region of space the electric field is given by  \mathrm{\vec{E}=8 \hat{i}+4 \hat{j}+3 \hat{k}} . The electric flux through a surface of area 100 units in the xy plane is -

Option: 1

800 Units


Option: 2

300 units


Option: 3

400 units


Option: 4

1500 units.


we know that,

\mathrm{ \phi=\vec{E} \cdot \vec{A} }
\mathrm{ \phi=(8 \hat{\imath}+4 \hat{\jmath}+3 \hat{k}) \cdot 100 \hat{i} }
\mathrm{ \phi=300} 

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Posted by

Gaurav

Two point charges \mathrm{+16 q } and  \mathrm{-4 q }  located at \mathrm{ x=0} and \mathrm{ x=L} . The location of a point on the x-axes from \mathrm{ x=0}, at which the net electric field due to there two charges is zero is -

Option: 1

\mathrm{ l }


Option: 2

\mathrm{ 2 l}


Option: 3

\mathrm{ L / 2}


Option: 4

\mathrm{L / 6}


\mathrm{\frac{k \cdot 16 q}{(l+x)^2} =\frac{4 k q}{x^2}}
\mathrm{\frac{x}{l+x} =\frac{1}{2} }
\mathrm{2 x =l+x }

\mathrm{\\ l =x }

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Posted by

Ritika Kankaria

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A point charge of  \mathrm{0.009 \mu c}  is placed at origin. The intensity of electric field due to this charge at point \mathrm{(\sqrt{2}, \sqrt{7}, 0)} is -

Option: 1

\mathrm{(3 \sqrt{2} \hat{i}+3 \sqrt{7} \hat{j}) \mathrm{N} / \mathrm{C} }


Option: 2

\mathrm{(2 \sqrt{3} \hat{i}+3 \sqrt{7} \hat{j}) \mathrm{N} / \mathrm{C} }


Option: 3

\mathrm{(3 \sqrt{2} \hat{i}+7 \sqrt{3} \hat{j}) N / C }


Option: 4

\mathrm{(\sqrt{2} \hat{i}+7 \sqrt{3} \hat{j}) N / C}


key points.-

 \mathrm{\vec{E}=\frac{k q}{\gamma^2} \hat{\gamma} }
\mathrm{\vec{E}=\frac{k q}{\gamma^3} \vec{\gamma} }
Now


\mathrm{\vec{\gamma}=x \hat{\imath}+y \hat{\jmath} }

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Posted by

jitender.kumar

The inward and outward electric flee for a closed surface in units of  \mathrm{N}-\mathrm{m}^2 / \mathrm{c}  are respectively 8 \times 10^3 and  \mathrm{4 \times 10^3}. Then the total charge inside the surface is -

Option: 1

4 \times 10^3 \mathrm{C}


Option: 2

-4 \times 10^3 \mathrm{c}


Option: 3

\frac{-4 \times 10^3}{\epsilon} c


Option: 4

-4 \times 10^3 \epsilon_0


\mathrm{ \therefore \quad \phi=\frac{Q}{\epsilon_0} }
\mathrm{ Q=\phi \epsilon }..........(1)
\mathrm{ \phi=\epsilon_0\left[-8 \times 10^3+4 \times 10^3\right] }
\mathrm{ \phi=-4 \times 10^3 \epsilon_0 }

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Posted by

vinayak

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