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Three concentric metallic spherical shel...

Three concentric metallic spherical shells of radii R, 2R, 3R, are given charges `Q_1`, `Q_2`, `Q_3`, respectively. It is found that the surface charge denisties on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, `Q_1:Q_2:Q_3`, is

A

`1:2:3`

B

`1:3:5`

C

`1:4:9`

D

`1:8:18`

Text Solution

Verified by Experts

`(Q_(1))/(4piR^(2))=(Q_(1)+Q_(2))/(4pi(2R)^(2))=(Q_(1)+Q_(2)+Q_(3))/(4pi(3R)^(2))`
or `Q_(1):Q_(2):Q_(3)::1:3:5`
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