Test: Continuous Charge Distribution (NCERT) - NEET MCQ

# Test: Continuous Charge Distribution (NCERT) - NEET MCQ

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## 5 Questions MCQ Test Physics Class 12 - Test: Continuous Charge Distribution (NCERT)

Test: Continuous Charge Distribution (NCERT) for NEET 2024 is part of Physics Class 12 preparation. The Test: Continuous Charge Distribution (NCERT) questions and answers have been prepared according to the NEET exam syllabus.The Test: Continuous Charge Distribution (NCERT) MCQs are made for NEET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Continuous Charge Distribution (NCERT) below.
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Test: Continuous Charge Distribution (NCERT) - Question 1

### Match the following and find the correct option.

Detailed Solution for Test: Continuous Charge Distribution (NCERT) - Question 1

Linear charge density, λ = charge/length ; A → q
Surface charge density, σ = charge/area; B → r
Volume charge density, ρ = charge/volume; C → p

Test: Continuous Charge Distribution (NCERT) - Question 2

### A uniformly charged conducting sphere of 4.4m diameter has a surface charge density of 60 μC m-2. The charge on the sphere is

Detailed Solution for Test: Continuous Charge Distribution (NCERT) - Question 2

Here D = 2r = 4.4 m,
or r = 2.2 m, σ = 60 μC m-2
Charge on the sphere, q = σ x 4πr2
= 60 x 10-6 x 4 x (22/7) x (2.2)2 = 3.7 x 10-3 C.

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Test: Continuous Charge Distribution (NCERT) - Question 3

### A metallic spherical shell has an inner radius R1 and outer radius R2. A charge is placed at the centre of the spherical cavity. The surface charge density on the inner surface is

Detailed Solution for Test: Continuous Charge Distribution (NCERT) - Question 3

When a charge +q is placed at the centre of spherical cavity as shown in figure.
Charge induced on the inner surface of shell = - q ... (i)
Charge induced on the outer surface of shell = + q ... (ii)

∴ Surface charge dcnsity on the inner surface = -q/4πR21

Test: Continuous Charge Distribution (NCERT) - Question 4

The surface charge density on the outer surface is

Detailed Solution for Test: Continuous Charge Distribution (NCERT) - Question 4

The outer surface of the outer shell similarly has its charge uniformly distributed. Thus, the surface charge density, σ₂, is given by σ₂ = q₂ / (4πR₂²).

Test: Continuous Charge Distribution (NCERT) - Question 5

A positive charge Q is uniformly distributed along a circular ring of radius R. A small test charge q is placed at the centre of the ring as shown in figure. Then

Detailed Solution for Test: Continuous Charge Distribution (NCERT) - Question 5

At the centre of the ring, E = 0 when a positive charge q > 0 is displaced away from the centre in the plane of the ring, say to the right, force of repulsion on q, due to charge on right half increases and due to charge on left half decreases. Therefore, charge q is pushed back towards the centre. So option (a) is correct.
When charge q is negative (q < 0), force is of attraction.
Therefore, charge q displaced to the right continues moving to the right till it hits the ring. Along the axis of the ring, at a distance r from the centre.
E = (Qr/(4πε0(r2 +a2)3/2)
If charge q is negative (q < 0), it will perform SHM for small displacement along the axis.

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## Physics Class 12

105 videos|425 docs|114 tests