In a Rutherford scattering experiment when a projectile of change `Z_(1)` and mass `M_(1)` approaches s target nucleus of change `Z_(2)` and mass `M_(2)`, te distance of closed approach is `r_(0)`. The energy of the projectile is

Options

A. directly proportional to `z_1z_2`
B. inversely proportional to `z_1`
C. directly proportional to Mass `M_1`
D. directly proportional to `M_1 xx M_2`

Answer

A

Explanation

The potential energy of system `=1/(4piepsilon_0)(z_1z_2)/r_0`
Energy of system `prop z_1 z_2` Note that energy of projectile is same as potential energy of both particles when they are at closest separation.