Q.

Consider two concentric spherical surfaces S1 with radius a and S2 with radius 2,a, both centered at the origin. There is a charge +q at the origin and there are no other charges. Compare the flux ϕ1 through S1 with the flux ϕ2 through S2.

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a

ϕ1=4ϕ2

b

ϕ1=2ϕ2

c

ϕ1=ϕ2

d

ϕ1=ϕ2/2

answer is C.

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Detailed Solution

Flux through both will be same as the net charge enclosed by both is same.
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Consider two concentric spherical surfaces S1 with radius a and S2 with radius 2,a, both centered at the origin. There is a charge +q at the origin and there are no other charges. Compare the flux ϕ1 through S1 with the flux ϕ2 through S2.