When an -particle of mass moving with velocity bombards on a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on as [2016]

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Solution

Q.
When an $α$ -particle of mass $m$ moving with velocity $v$ bombards on a heavy nucleus of charge Ze, its distance of closest approach from the nucleus depends on $m$ as [2016]

1 $\frac{1}{m^{2}}$

2 $m$

3 $\frac{1}{m}$

4 $\frac{1}{\sqrt{m}}$

Ans.
(3)

Distance of closest approach when an $α$ -particle of mass $m$ moving with velocity $v$ is bombarded on a heavy nucleus of charge Ze, is given by

$r_{0} = \frac{Z e^{2}}{2 π ε_{0} m v^{2}} ∴ r_{0} \propto \frac{1}{m}$

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