A spherical shell and a solid sphere, made up of same material and having same radii, are charged to their maximum capacity. If charges on their surfaces are respectively, `q_(1)` and `q_2` then ......

Options

A. `q_(1) lt q_(2)`
B. `q_(1) gt q_(2)`
C. `q_(1) = q_(2)`
D. nothing can be said

Answer

C

Explanation

Here, electric field on the surface of shell and sphere can have its maximum value equal to dielectric strength of air which is constant, say E.. Then,
`(E_(1))_("max") = (E_(2))_("max") = E.`
`therefore (kq_(1))/(R_(1)^(2)) = (kq_(2))/(R_(2)^(2))`
`therefore q_(1) = q_(2)` (`therefore` Here `R_(1) =R_(2)`)