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Q.

In Rutherford experiments of $α - r a y$ scattering the number of particles scattered at $90 °$ be 28 per minute. Then the number of particles scattered per minute by the same foil but at $60 °$ are ______

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answer is 112.

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Detailed Solution

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$N o . o f p a r t i c l e s s c a t t e r e d a t a n g l e i s N \propto \frac{1}{\sin^{4} (\frac{θ}{2})} Given:- the number of particles scattered at 90^{\circ} be 28 per minute \Rightarrow \frac{N_{1}}{N_{2}} = \frac{\sin^{4} (\frac{θ_{2}}{2})}{\sin^{4} (\frac{θ_{1}}{2})} \Rightarrow \frac{28}{N_{2}} = \frac{\sin^{4} (\frac{60^{0}}{2})}{\sin^{4} (\frac{90^{\circ}}{2})} \Rightarrow N_{2} = 112$

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In Rutherford experiments of α−ray scattering the number of particles scattered at 90° be 28 per minute. Then the number of particles scattered per minute by the same foil but at 60° are ______