Electrostatics Question 122

Question: A conducting sphere of radius 10cm is charged 10μC . Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the sphere are separated, then surface density of charges, on the spheres will be in the ratio of [AIIMS 2002]

Options:

A) 1 : 4

B) 1 : 3

C) 2 : 1

D) 1 : 1

Show Answer

Answer:

Correct Answer: C

Solution:

After redistribution new charges on spheres are

Q1=(1010+20)×10=103μC and Q2=(2010+20)×10=203μC

Ratio of charge densities σ1σ2=Q1Q2×r22r12

=10/320/3×(2010)2=21

σ=Q4πr2



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