Q.

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

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a

directly proportional to Z1Z2

b

inversely proportional to Z1

c

directly proportional to M1×M2

d

directly proportional to mass M1

answer is B.

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Detailed Solution

A particle of mass M1 and charge Z1 possesses 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,

12M1u2=14πεoZ1Z2ro

So the energy of the particle is directly proportional to Z1Z2

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