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Radius of spherical shell is 0.5 m. It i...

Radius of spherical shell is 0.5 m. It is charged. Now imagine spherical surface of radius 2 m and 3 m concentric with spherical shell of 0.5 m radius. If electric field on these surfaces are `E_(1)` and `E_2` respectively, then

A

`E_(1) = 3/2E_(2)`

B

`E_(2) = 9/4E_(1)`

C

`E_(1) = 9/4E_(2)`

D

`E_(1) = E_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`R= 0.5 m, r_(1)=2m, r_(2) =3m`
`therefore` For a point-out side shell.
`E = (sigmaR^(2))/(epsilon_(0)r^(2))`
`therefore E prop 1/r^(2)`
`E_(1)/E_(2) = 9/4`
`therefore E_(1) = 9/4E_(2)`
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