An -particle With Kinetic Energy 10 MeV Is Heading Towards A Stationary Point-nucleus Of Atomic Number Z = 50. Calculate The Distance Of Closest Approach.    

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Question

An -particle with kinetic energy 10 MeV is heading towards a stationary point-nucleus of atomic number Z = 50. Calculate the distance of closest approach.

   

Solution

Correct option is

When the -particle (charge +2e) comes closest to the nucleus (charge +Ze), it is momentarily at rest and its initial kinetic energy K is completely converted into electrostatic potential energy.  

Let r0 be the distance of closest approach of the -particle to the nucleus. At this distance, the potential energy of the particle is 

                  

            

Here,

   

   .  

  

             .  

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