Electrostatics Test

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Electrostatics Test - 55

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Weekly Quiz Competition

Question 1
4 / -1

Gauss\'s law should be invalid if

A
There were magnetic monopoles

B
The inverse square law were not exactly true

C
The velocity of light were not a universal constant

D
None of the above
Question 2
4 / -1

A sphere of radius R has a uniform distribution of electric charge in its volume. At a distance x from its centre, for x < R, the electric field is directly proportional to

A

B

C

D

Solution
Question 3
4 / -1

If the electric flux entering and leaving an enclosed surface respectively is ɸ₁ and ɸ₂ the electric charge inside the surface will be

A
(ɸ₁ + ɸ₂)ɛ₀

B
(ɸ₂ – ɸ₁)ɛ₀

C
(ɸ₁ + ɸ₂) / ɛ₀

D
(ɸ₂ – ɸ₁) / ɛ₀

Solution
Question 4
4 / -1

What about Gauss\'s theorem is not incorrect?

A
It can be derived by using Coulomb's law

B
It is valid for conservative field obeys inverse square root law

C
Gauss theorem is not applicable in gravitation

D
(a) and (b) both
Question 5
4 / -1

Consider the charge configuration and spherical Gaussian surface as shown in the figure. When calculating the flux of the electric field over the spherical surface the electric field will be due to

A
q₂

B
Only the positive charges

C
All the charges

D
+ q₁ and – q₁
Question 6
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
10³Nm²C^–1

B
10³ CN^–1 m^–2

C
6.32 × 10³Nm² C^–1

D
6.32 × 10³ CN^–1 m^–2

Solution
Question 7
4 / -1

A point charge causes an electric flux of –1.0 × 10³ Nm² C^–1 to pass through a spherical Gaussian surface of 10.0 cm radius centered on the charge. If the radius of the Gaussian surface were three times, how much flux would pass through the surface

A
3.0 × 10³ Nm²/C

B
–1.0 × 10³ Nm²/C

C
–3.0 × 10³ Nm²/C

D
–2.0 × 10³ Nm²/C

Solution
Question 8
4 / -1

The electric charges are distributed in a small volume. The flux of the electric field through a spherical surface of radius 10 cm surrounding the total charge is 20 Vm. The flux over a concentric sphere of radius 20 cm will be

A
20 Vm

B
25 Vm

C
40 Vm

D
200 Vm

Solution
Question 9
4 / -1

Which of the following is the correct statement of Gauss\'s law for electrostatics in a region of charge distribution in free space

A

B

C

D

Solution
Question 10
4 / -1

The electrostatic potential inside a charged spherical ball is given by ɸ = ar² + b, where r is the distance from the centre; a, b are constants. Then the charge density inside the ball is

A
–24πaɛ₀r

B
–6aɛ₀r

C
–24πaɛ₀

D
–6aɛ₀

Solution