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In a situation where a country’s government exercises complete control over its territory, makes its laws, and has no foreign authority dicating its internal affairs, what term best describes the status of this country?

Option: 1

Autonomous

 

Option: 2

Independent

 

 

Option: 3

Subjugated

 

 

Option: 4

Alliance

 

A country is known to be independent when it governs itself without any interference from any foreign power.

When it is able to make its own law, control its own territory and can handle internal matters independently. Independent means full sovereignty.

Hence, the correct answer is option 2) Independent

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Posted by

Divya Sharma

In a nation where citizens elect representatives to make decisions on their behalf, and the head of state is not a hereditary monarch but a public official chosen through elections, what form of government does this nation have?

Option: 1

Monarchy

 

Option: 2

Oligarchy

 

 

Option: 3

Democracy

 

 

Option: 4

Republic

 

A republic government is a form of government where the citizens are allowed to elect representatives to make laws and decisions. This means that the head of state is not a hereditary monarch but an elected official. In such a type of government structure, the power lies with the people. This ensures the leadership through public choice rather than royal lineage.

Hence, the correct answer is option 4) Republic

 

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Posted by

Divya Sharma

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Which term from the Preamble of the Indian Constitution aligns with the idea of promoting economic equality, similar to the situation in “Harmonia”?

Option: 1

Sovereign

 

Option: 2

Socialist

 

 

Option: 3

Secular

 

 

Option: 4

Democratic

 

Socialist in the preamble of the Indian Constitution means the idea of promoting economic equality. This would mean reducing the gap between rich and poor, and making sure a fair distribution of wealth and resources. This is similar to the situation described in Harmonia.

Hence, the correct answer is option 2) Socialist

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Posted by

Divya Sharma

Situation: Imagine you are planning a community event to celebrate the founding principles of the United States. You want to include elements that reflect the Preamble. Which option best aligns with the principles outlined in the Preamble of the U.S. Constitution?

Option: 1

A charity fundraiser to support local schools and education initiatives.

 

Option: 2

A fireworks display to commemorate the nation’s history and achievements.

 

 

Option: 3

A debate competition on current political issues.

 

 

Option: 4

A military parade showcasing the strength and capabilities of the armed forces

 

The Goals of the Preamble of the US constitution are -

Promoting the general welfare

Securing the blessings of liberty

Establishment of justice

Hence, the correct answer is option 1) A charity fundraiser to support local schools and education initiatives.

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Posted by

Divya Sharma

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As shown in the figure, in Young's double slit experiment, a thin plate of thicknesst=10\mu m and refractive index t=1.2 is inserted infront of slit S_{1}. The experiment is conducted in air(\mu =1) and uses a monochromatic light of wavelength \lambda =500\; nm. Due to the insertion of the plate, centralmaxima is shifted by a distance of x\beta _{0}.\beta _{0} is the fringe-width befor the insertion of the plate. The value of the x is ________.

Option: 1

4


Option: 2

__


Option: 3

__


Option: 4

__


Given\; t=10 \times 10^{-6} \mathrm{~m} \mu=1.2

\lambda=500 \times 10^{-9} \mathrm{~m}

When the glass slab inserted infront of one slit then the shift of central fringe is obtained by

\begin{aligned} & \mathrm{t}=\frac{\mathrm{n} \lambda}{(\mu-1)} \\ & \Rightarrow \quad 10 \times 10^{-6}=\frac{\mathrm{n} \times 500 \times 10^{-9}}{(1.2-1)} \\ & 10 \times 10^{-6}=\frac{\mathrm{n} \times 500 \times 10^{-9}}{0.2} \\ & \mathrm{n}=4 \end{aligned}

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Info Expert 30

A square shaped coil of area70\; cm^{2} having 600 turns rotates in a magnetic field of 0.4 \mathrm{wbm}^{-2}, about an axis which is parallel to one of the side of the coil and perpendicular to the direction of field. If the coil completes 500 revolution in a minute, the instantaneous emf when the plane of the coil is inclined at 60^{\circ} with the field, will be ________ V.\left(\text { Take } \pi=\frac{22}{7}\right)

 

 

Option: 1

44


Option: 2

__


Option: 3

__


Option: 4

__


\text { Area (A) }=70 \mathrm{~cm}^2=70 \times 10^{-4} \mathrm{~m}^2

\begin{aligned} & \mathrm{B}=0.4 \mathrm{~T} \\ & \mathrm{f}=\frac{500 \text { revolution }}{60 \text { minute }}=\frac{500}{60} \frac{\mathrm{rev} .}{\mathrm{sec} .} \end{aligned}

Induced emf in rotating coil is given by

\begin{aligned} & \mathrm{e}=\mathrm{N} \omega \mathrm{BA} \sin \theta \\ & =600 \times 2 \times \frac{22}{7} \times \frac{500}{60} \times 0.4 \times 70 \times 10^{-4} \sin 30^{\circ} \\ & =600 \times 2 \times \frac{22}{7} \times \frac{500}{6} \times 0.4 \times 70 \times 10^{-4} \times \frac{1}{2} \\ & =44 \text { Volt } \end{aligned}

 

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Posted by

Gautam harsolia

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A block is fastened to a horizontal spring. The block is pulled to a distance x = 10 cm from its equilibrium position (at x = 0 ) on a frictionless surface from rest. The energy of the block at x = 5 cm 0.25 J. The spring constant of the spring is ________Nm^{-1}

Option: 1

50


Option: 2

___


Option: 3

__


Option: 4

__


Given

A=10cm

At any instant total energy for free oscillation remains constant=\frac{1}{2} \mathrm{kA}^2

\begin{aligned} & \Rightarrow \frac{1}{2} \mathrm{kA}^2=0.25 \mathrm{~J} \\ & \Rightarrow \frac{1}{2} \mathrm{kA}^2=0.25 \mathrm{~J} \quad \Rightarrow \mathrm{K}=\frac{0.25 \times 2}{\mathrm{~A}^2} \\ & \Rightarrow \mathrm{k}=\frac{0.50}{(10 \mathrm{~cm})^2}=\frac{0.50}{\left(10 \times 10^{-2}\right)}=\frac{0.50 \times 10^4}{100} \\ & \mathrm{k}=0.50 \times 100=50 \mathrm{~N} / \mathrm{m} \end{aligned}

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Posted by

Divya Prakash Singh

For a body projected at an angle with the horizontal from the ground, choose the correct statement.

Option: 1

The vertical component of momentum is maximum at the highest point.


Option: 2

The Kinetic Energy (K.E.) is zero at the highest point of projectile motion.


Option: 3

The horizontal component of velocity is zero at the highest point.


Option: 4

Gravitational potential energy is maximum at the highest point.


At highest point height is maximum and vertical component of velocity is zero.
So momentum is zero. At highest point horizontal component of velocity will not be zero but vertical component of velocity is equal to zero and because of this K.E. will not be equal to zero. Gravitational potential energy is maximum at highest point and equal to\mathrm{mgH}=\mathrm{mg}\left(\frac{\mathrm{u}^2 \sin ^2 \theta}{2 \mathrm{~g}}\right)

Therefore the correct option is (4).

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Posted by

Gaurav

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Nucleus A having \mathrm{Z=17} and equal number of protons and neutrons has \mathrm{1.2 \mathrm{MeV}} binding energy per nucleon. Another nucleus \mathrm{\mathrm{B}\: of\: Z=12} has total 26 nucleons and 1.8 \mathrm{MeV} binding energy per nucleons. The difference of binding energy of \mathrm{B \: and \: A} will be ___________\mathrm{\mathrm{MeV}.}
 

Option: 1

6


Option: 2

-


Option: 3

-


Option: 4

-


\mathrm{ \text { For Nucleus A } }
\mathrm{Z}=17=\text { Nummber of protons }           \mathrm{Given\left ( Z=N \right )\therefore N=17}
\mathrm{A}=34=\mathrm{Z}+\mathrm{N}
\mathrm{E}_{\mathrm{bn}}=1.2 \mathrm{MeV}
\frac{\mathrm{\left(\mathrm{E}_{\mathrm{B}}\right)_1 }}{A}=1.2 \mathrm{MeV}
\left(\mathrm{E}_{\mathrm{B}}\right)_1=(1.2 \mathrm{MeV}) \times \mathrm{A}
\left(\mathrm{E}_{\mathrm{B}}\right)_1=(1.2 \mathrm{MeV}) \times 34
\left(\mathrm{E}_{\mathrm{B}}\right)_1=40.8 \mathrm{MeV} \rightarrow \text { Binding energy of Nucleus } \mathrm{A}

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Posted by

Deependra Verma

In the given circuit, the value of \mathrm{\left|\frac{\mathrm{I}_1+\mathrm{I}_3}{\mathrm{I}_2}\right|} is ___________.

Option: 1

2


Option: 2

-


Option: 3

-


Option: 4

-


Apply KVL in loop (1)
\mathrm{ 20-10-10 \mathrm{I}=0 }
Or \mathrm{ I=1 \mathrm{Amp} }
Apply KVL in loop (2)

\mathrm{-10+5 I^{\prime}=0 }
\mathrm{ \text { Or } I^{\prime}=2 \mathrm{Amp} }
On comparing \mathrm{I}_3=1 \mathrm{~A}
\mathrm{I}_2=\mathrm{I}_1=\frac{\mathrm{I}^{\prime}}{2}=1 \mathrm{Amp}
So, the value of \left|\frac{\mathrm{I}_1+\mathrm{I}_3}{\mathrm{I}_2}\right|=\left|\frac{1+1}{1}\right|=2 \mathrm{Amp}.

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Posted by

Sanket Gandhi

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