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Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is

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a

4 : 1

b

1 : 2

c

2 : 1

d

1 : 4

answer is C.

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Detailed Solution

After connection, V1=V2⇒KQ1r1=KQ2r2⇒Q1Q2=r1r2----(1)The ratio of electric fieldsE1E2=KQ1r12KQ2r22⇒E1E2=Q1r12×r22Q2⇒E1E2=r1×r22r12×r2⇒E1E2=r2r1=21 from (1)Since the distance between the spheres is large as compared to their diameters, the induced effects may be ignored.

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Two spherical conductors A and B of radii 1mm and 2mm are separated by a distance of 5cm and are uniformly charged. If the spheres are connected by a conducting wire then in equilibrium condition, the ratio of the magnitude of the electric fields at the surfaces of spheres A and B is