Q.

Two insulated charged· conducting spheres of radii 20 cm and 15 cm, respectively, and having an equal charge of 10 C are connected by a copper wire and then they are separated. Then

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a

both the spheres will have the same charge of 10 C

b

surface charge density on the 20 cm sphere will be greater than that on the 15 cm sphere

c

surface charge density on the 15 cm sphere will be greater than that on the 20 cm sphere

d

surface charge density on the two spheres will be equal

answer is C.

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Detailed Solution

After redistribution, charges on them will be different, but they will acquire common potential i.e.,kQ1r1=kQ2r2⇒Q1Q2=r1r2  As σ=Q4πr2⇒σ1σ2=Q1Q2×r22r12 ⇒σ1σ2=r2r1⇒σ∝1ri.e., surface charge density on smaller sphere will be more.
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