A point charge Q is placed at the centre of a spherical conducting shell. A total charge of -q is placed on the shell. The magnitude of the electric field at point `P_1` at a distance `R_1` from the centre is X. The magnitude of the electric field due to induced charges at point `P_2` a distance `R_2` from the centre is Y. The values of X and Y are respectively.

Options

A. ` 0,0 `
B. ` ( kQ ) /( R _ 1 ^ 2 ) , 0 `
C. ` ( k ( Q - q ))/ ( R _ 1 ^ 2 ) , 0 `
D. ` ( k Q ) /( R _ 1 ^ 2 ) , ( k Q ) /( R _ 2 ^ 2 ) `

Answer

D

Explanation

The charge on inner surface of shell is -Q and on outer surface of shell is Q + q.
` E _ ( P _ 1 ) = (kQ ) /( R_ 1 ^ 2 ) and E _ (P _ 2 ) = ( kQ ) /( R _ 2 ^ 2 ) `