Electrostatics Test

Result

Electrostatics Test - 12

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Weekly Quiz Competition

Question 1
4 / -1

A spherical conductor of radius 2 cm is uniformly charged with 3 nC . What is the electric field at a distance of 3 cm from the centre of the sphere ?

A
3 × 10⁶ Vm ^-1

B
3 Vm ^-1

C
3 × 10⁴ Vm ^-1

D
3 × 10 ^-4 Vm ^-1

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A
σ / 2ε₀ , down

B
σ / 2ε₀ , up

C
σ / ε₀, down

D
σ /ε₀ , up

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as function of distance from the centre. The graph which would correspond to the above will be

A

B

C

D

Solution
Question 6
4 / -1

A proton and an electron are placed in a uniform electric field

A
the electric field acting on them will be equal

B
the magnitude of the force will be equal

C
their accelerations will be equal

D
the magnitude of their acceleration will be equal
Question 7
4 / -1

The two infinite parallel metal plates, contain electric charges with charge densities + σ and –σ respectively and they are separated by a small distance in air. If the permittivity of air is ε₀ , then the magnitude of the field between the two plates with its directions will be

A
σ / ε₀ towards the positively charged plate

B
σ / ε₀ towards the negatively charged plate

C
σ /(2ε₀ ) towards the positively charged plate

D
0 and towards any direction

Solution
Question 8
4 / -1

A wooden block performs SHM on a frictionless surface with frequency v₀ .The block carries a charge + Q on its surface. If now a uniform electric field E is switched on as shown, then the SHM of the block will be

A
of the same frequency and with shifted mean position

B
of the same frequency and with the same mean position

C
of changed frequency and with shifted mean position

D
of changed frequency and with the same mean position
Question 9
4 / -1

A few electric field lines for a system of two charges Q₁ and Q₂ fixed at two different points on the x-axis are shown in the figure. These lines suggest that

A

B

C
at a finite distance to the left of Q₁, the electric field is zero

D
at a finite distance to the right of Q₂, the electric field is one

Solution
Question 10
4 / -1

A uniformly charged thin spherical shell of radius R carries uniform surface charge density of σ per unit area. It is made of two hemi-spherical shells, held together by pressing them with force F (see figure). F is proportional to

A

B

C

D

Solution