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,

   

   .  

  

             .  

SIMILAR QUESTIONS

Q1

The reading of first Bohr or lit hydrogen atom is

Q2

The energy of on electron in the 3rd forfeit of on atom is –E. The energy of on electron in the first or lit will be

Q3

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Q4

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Q5

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Q6

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Q7

An -part ale of energy 5Mev is scattered through 180 by a fined uranium nucleus. The distance of the closed approach is of the order of:

Q8

 

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.

   

Q9

What is the distance of closest approach when a 5.0 MeV proton approaches a gold nucleus (Z = 79)? Given, 

    

.

Q10

An -particle after passing through a potential difference of  falls on a silver foil. The atomic number of silver is 47. Calculate the kinetic energy of the -particle at the time of falling on the foil.