EWT | Academic Question

Questions
Question (1)
QN0038869

Two identical charged spheres suspended from a common point by two massless strings of lengths , are initially at a distance  apart because of their mutual repulsion. The charges begin to leak from both the spheres at a constant rate. As a result, the spheres approach each other with a velocity . Then  varies as a function of the distance  between the spheres, as :      

  • (A)

     

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

From figure

or

or

Differentiating eq. (i) w.r.t. time

but  is constant so  Replace from eq. (ii)

or

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Question (2)
QN0038870

Suppose the charge of a proton and an electron differ slightly. One of them is , the other is . If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance  (much greater than atomic size) apart is zero, then  is of the order of.[Given mass of hydrogen  ]      

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

According to question, the net electrostatic force  gravitational force

or

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Question (3)
QN0038871

An electron falls from rest through a vertical distance  in a uniform and vertically upward directed electric field . The direction of electric field is now reversed, keeping its magnitude the same. A proton is allowed to fall from rest in it through the same vertical distance . The time of fall of the electron, in comparison to the time of fall of the proton is

  • (A)

    smaller

  • (B)

    5 times greater.

  • (C)

    equal

  • (D)

    10 times greater

Correct Answer: A
Explanation:

As we know,

i.e., time  as '  ' is same for electron and proton.

Since, electron has smaller mass so it will take smaller time.

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Question (4)
QN0038872

Two point charges  and ; having charges  and  respectively, are placed at certain distance apart and force acting between them is . If  charge of is transferred to , then force between the charges becomes:         

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

We know that,

If  of charges of A transfer to  then

and

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Question (5)
QN0038873

Two parallel infinite line charges with linear charge densities  and  are placed at a distance of  in free space. What is the electric field mid-way between the two line charges?

  • (A)

    zero

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Electric field due to line charge (1)

Electric field due to line charge (2)

[Note: Both  and  are in the same direction.]

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Question (6)
QN0038874

A spherical conductor of radius  has a charge of 3.2  distributed uniformly. What is the magnitude of electric field at a point  from the centre of the sphere?

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

If the charge on a spherical conductor of radius  is , then electric field at distance  from centre is

(if  )

(if  )

Electric field at a distance  from the centre of sphere will be

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Question (7)
QN0038875

Polar molecules are the molecules

  • (A)

    having a permanent electric dipole moment

  • (B)

    having zero dipole moment

  • (C)

    acquire a dipole moment only in the presence of electric field due to displacement of charges

  • (D)

    acquire a dipole moment only when magnetic field is absent

Correct Answer: A
Explanation:

In polar molecules, like  the centre of positive charges does not coincide with the centre of negative charges.

Hence, permanent electric dipole exists

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Question (8)
QN0038876

Two point charges  and  are placed at a distance of , as shown in the figure. The magnitude of electric field intensity at a distance  varies as:                                      

A close up of a page

Description automatically generated

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

If  it will be have like a dipole and in dipole we have, 

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Question (9)
QN0038877

An electric dipole is placed at an angle of  with an electric field of intensity . It experiences a torque equal to . Calculate the magnitude of charge on the dipole, if the dipole length is .

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

Given  and 

Charge on the dipole,

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Question (10)
QN0038878

If  over a surface, then

  • (A)

    The number of flux lines entering the surface must be equal to the number of flux lines leaving it

  • (B)

    The magnitude of electric field on the surface is constant

  • (C)

    All the charges must necessarily be inside the surface

  • (D)

    The electric field inside the surface is necessarily uniform

Correct Answer: A
Explanation:

Since,

i.e., Net flux throfigh surface is zero, so number of flux lines entering the surface must be equal to the number of flux lines leaving it.

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