First slide

Scattering of a-particles and Rutherford’s nuclear Model of Atoms.

Question

When an $α$ -particle of mass m moving with velocity $v$ bombards on a heavy nucleus of charge $Z e$ , its distance of closest approach from the nucleus depends on $m$ as

Moderate

A

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

m
C

$\frac{1}{m}$
D

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

Solution

Distance of closest approach when an $α$ -particle of mass $m$ moving with velocity $V$ is bombarded on a heavy nucleus of charge $z e$ , is given by
$r_{0} = \frac{Z e^{2}}{π ε_{0} m v^{2}} ∴ r_{0} \propto \frac{1}{m}$

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