EWT | Academic Question

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Question (11)
QN0038985

A dipole is placed in an electric field as shown. In which direction will it move?

  • (A)

    Towards the right as its potential energy will increase.

  • (B)

    Towards the left as its potential energy will increase.

  • (C)

    Towards the right as its potential energy will decrease.

  • (D)

    Towards the left as its potential energy will decrease.

Correct Answer: C
Explanation:

Potential energy of electric dipole in external electric field

Since angle between  and  is

On moving towards right electric field strength decrease

decreases.

Net force on electric dipole is towards right and net torque acting on it is zero so move towards right.

Note : Potential energy of a dipole  stable equilibrium and  i.e., minimum value. For  and dipole is not in equilibrium. For  i.e., maximum value and dipole is in unstable equilibrium.

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Question (12)
QN0038986

The equivalent capacitance of the combination shown in the figure is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

The circuit is as shown is figure,

Points  are connected by conducting wire so these points are at same potential.

So the capacitor is short circuited. So it does not store any charge.

Therefore equivalent capacitance

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Question (13)
QN0038987

Twenty seven drops of same size are charged at  each. They combine to form a bigger drop. Calculate the potential of the bigger drop. 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Let charge and radius of smaller drop is  and  respectively and  radius of bigger drop

For smaller drop, electric potential,

As volume remains the same

And from conservation of charge,

Potential of bigger drop,

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Question (14)
QN0038988

Two hollow conducting spheres of radii and  ) have equal charges. 

The potential would be :                                                                                   

 

  • (A)

    more on smaller sphere

  • (B)

    equal on both the spheres

  • (C)

    dependent on the material property of the sphere

  • (D)

    more on bigger sphere

Correct Answer: A
Explanation:

Potential, of hollow conducting sphere,

constant

So,

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Question (15)
QN0038989

The angle between the electric lines of force and the equipotential surface is:

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

Electric field vectors are always  to equipotential surface.

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Question (16)
QN0038990

A capacitor of capacitance  is charged fully by 100  battery  as shown in figure (a). Then it is disconnected from the battery and connected to another uncharged capacitor of capacitance  as shown in figure (b). The electrostatic energy stored by the system (b) is         

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

By conservation of charge

So,

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Question (17)
QN0038991

An electric dipole is placed as shown in the figure.

The electric potential (in  ) at point  due to the dipole is (  permittivity of free space and  )

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

Electrostatic potential due to a point charge is given by

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Question (18)
QN0038992

Six charges  and  are fixed at the corners of a hexagon of side  as shown in the figure. The work done in bringing a charge  to the centre of the hexagon from infinity is : 

( - permittivity of free space)                                                         

A hexagon with a point in the center

Description automatically generated

  • (A)

      

  • (B)

    Zero       

  • (C)

  • (D)

Correct Answer: B
Explanation:

Potential at the centre of hexagon is zero i.e.,

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Question (19)
QN0038993

The equivalent capacitance of the system shown in the following circuit is 

                                                                

  • (A)

  • (B)

           

  • (C)

  • (D)

Correct Answer: A
Explanation:

For parallel grouping,

For series grouping,

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