Atoms And Nuclei Question 297

Question: In Rutherford scattering experiment, what will be the correct angle for a-scattering for an impact parameter, b=0?

Options:

A) $ 90{}^\circ $

B) $ 270{}^\circ $

C) $ 0{}^\circ $

D) $ 180{}^\circ $

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Answer:

Correct Answer: D

Solution:

  • $ b=\frac{Ze^{2}\cot ( \frac{\theta }{2} )}{4\pi {\varepsilon_{0}}k_{i}}=0\Rightarrow \cot ( \frac{\theta }{2} )=0 $
    $ \Rightarrow \frac{\theta }{2}=90{}^\circ \text{ or }\theta =180{}^\circ $


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