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Questions  

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

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

detailed solution

Correct option is C

After redistribution, charges on them will be different, but they will acquire common potential  i.e. kQ1r1=kQ2r2⇒Q1Q2=r1r2As σ=Q4πr2⇒σ1σ2=Q1Q2×r22r12⇒σ1σ2=r2r1⇒σ∝1ri.e. surface charge density on smaller sphere will be more.

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