Electrostatics Test

Result

Electrostatics Test - 25

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Question 1
4 / -1

A solid metallic sphere has a charge + 3Q. Concentric with this sphere is a conducting spherical shell having charge –Q. The radius of the sphere is a and that of the spherical shell is b (b > a). What is the electric field at a distance R (a < R < b) from the centre?

A

B

C

D

Solution
Question 2
4 / -1

Which of the following plots represents the variation of the electric field with distance from the centre of a uniformly charged non-conducting sphere of radius R?

A

B

C

D

Solution
Question 3
4 / -1

Three infinitely long charge sheets are placed as shown in figure. The electric field at point P is

A

B

C

D

Solution
Question 4
4 / -1

A charged ball B hangs from a silk thread S, which makes an angle θ with a large charged conducting sheet P, as shown in the figure. The surface charge density σ of the sheet is proportional to

A

B

C

D

Solution
Question 5
4 / -1

Three concentric metallic spherical shells of radii R, 2R ,3R are given charges Q₁ , Q₂ , Q₃ respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q₁ : Q₂ : Q₃ is

A
1 : 2 : 3

B
1 : 3 : 5

C
1 : 4 : 9

D
1 : 8 : 18

Solution
Question 6
4 / -1

A sample of HCl gas is placed in an electric field of 3 × 10⁴ NC ^-1. The dipole moment of each HCl molecule is 6 x 10^-30 Cm. The maximum torque, that can act on a molecule is

A
2 × 10^-34 C²mN^-1

B
2 × 10^-34 Nm

C
18 × 10^-26 Nm

D
0.5 × 10³⁴ C^-2mN^-1

Solution
Question 7
4 / -1

Which of the following statement(s) is/are correct?

A
If the electric field due to a point charge varies as r^-2.5 instead of r^-2 , then the Gauss' law will still be valid

B
The Gauss' law can be used to calculate the field distribution around an electric dipole

C
If the electric field between two point charges is zero somewhere, then the sign of the two charges is the same

D
The work not done by the external force in moving a unit positive charge from point A at potential V_A to point B at potential V_B is (V_B - V_A)
Question 8
4 / -1

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.

A
A potential difference appears between the two cylinders when a charge density is given to the inner cylinder

B
A potential difference appears between the two cylinders when a charge density is given to the outer cylinder

C
No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders

D
No potential difference appears between the two cylinders when same charge density is given to both the cylinders
Question 9
4 / -1

A hollow cylinder has a charge q coulomb within it. If ϕ is the electric flux in unit of voltmeter associated with the curved surface B, the flux linked with the plane surface A in unit of voltmeter will be

A

B

C

D

Solution
Question 10
4 / -1

The electric flux for Gaussian surface A that enclose the charged particles in free space is (given, q₁ = –14 nC, q₂ = 78.85 nC, q₃ = – 56 nC)

A
10³ Nm² C^-1

B
10³ CN^-1 m ^-2

C
6.32 × 10³ Nm² C ^-1

D
6.32 × 10³ CN^-1m^-1

Solution