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

Options

A. directly proportional to `Mx_(1) xx M_(2)`
B. directly proportional to `Z_(1) Z_(2)`
C. inversely proportional to `Z_(1)`
D. directly proportiona to mass `M_(1)`

Answer

B

Explanation

In a Rutherford.s experiment energy of projectile `E = (1)/(4 pi in_(0)) = ((Z_(1)e)(Z_(2)e))/(r_(0)) rArr E prop Z_(1)Z_(2)` .