﻿ What is the upper limit of the radius of the gold nuclues (Z = 79), if an -particle of energy 12.5 MeV is deflected back by the nucleus through 180o. : Kaysons Education

# What Is The Upper Limit Of The Radius Of The Gold Nuclues (Z = 79), If An -particle Of Energy 12.5 MeV Is Deflected Back By The Nucleus Through 180o.

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## Question

### Solution

Correct option is

The distance of closest approach of an -particle (charge +2e) of initial kinetic energy K, scattering through 180o from a nucleus of atomic numberZ is given by

Substituting the given value, we get

The radius of the gold nucleus is, therefore, less than  (= 18 fermi). This is the upper limit of the radius of gold nucleus.

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