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NEET - 2009

In a Rutherford scattering experiment when a projectile of charge Z1 and mass M1 approaches a target nucleus of charge Z2 and mass M2, the distance of closest approach is r0. The energy of the projectile is 

(a) directly proportional to M1×M2

(b) directly proportional to Z1Z2

(c) inversely proportional to Z1

(d) directly proportional to mass M1

A particle of mass M1 and charge z1 possess initial velocity u, when it is at a large distance from the nucleus of an atom having atomic number z2. At the distance of closest approach, the kinetic energy of particle is completely converted to potential energy. Mathematically, 


So the energy of the particle is directly proportional to z1z2.

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