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Questions  

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

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=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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Similar Questions

Two spherical shells are as shown in figure.

Let r be the distance of a point from their common centre.  Then, match the following columns and mark the correct choice from the given codes.

 Column-I Column-II
i.Electric field for r < R1p.is constant for q2 and vary for q1
ii.Electric potential for r < R1q.is zero for q2 and vary for q1
iii.Electric potential for R1 < r <R2r.is constant
iv.Electric field for R1 < r <R2s.is zero

Codes:


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