Question

A metallic sphere A isolated from ground
is charged to +50 uC. This sphere is
brought in contact with other isolated
metallics sphere B of half the radius of
sphere A. The charge on the two sphere
will be now in the ratio
(A) 1:2 (B) 2:1
(C) 4:1 (D) 1:1

Answer 1

Dear Student,

◆ Answer -

(B) 2:1

● Explanation -

Let Q1 and Q2 are charges on the two spheres when they are connected.

When two spheres are connected, their potential will be equal.

V1 = V2

k.Q1/r1 = k.Q2/r2

Q1/Q2 = r1/r2

Q1/Q2 = r/(r/2)

Q1/Q2 = 2

Q1 = 2Q2

Therefore, when the spheres are connected ratio of charges is 2:1.

Thanks dear. Hope this helps you...