Figure, shown above, shows three situations involving a charged particle and a uniformly charged spherical shell. The charges and radii of the shells are indicated in the figure. If `F_(1),F_(2)` and `F_(3)` are the magnitudes of the force on the particle due to the shell in situations (I),(II) and (III) then

Options

A. `F_(3) gt F_(2) gt F_(1)`
B. `F_(2) gt F_(2)=F_(3)`
C. `F_(3)=F_(2) gt F_(1)`
D. `F_(1) gt F_(2) gt F_(3)`

Answer

C

Explanation

`F_(1)` is zero as charge lies inside the shell (Electric field inside the shell due to its own charge is zero). `F_(2)=F_(3)` as charge over the surface of the shell behaves like centerad at the centre.