Atoms - Result Question 5
6. In Rutherford scattering experiment, what will be the correct angle for $\alpha$-scattering for an impact parameter, $b=0$ ?
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======= ####6. In Rutherford scattering experiment, what will be the correct angle for $\alpha$-scattering for an impact parameter, $b=0$ ?
c3eec34ec6b1fad69db54a20ad4b2dca40c2aa54 (a) $90^{\circ}$
(b) $270^{\circ}$
(c) $0^{\circ}$
(d) $180^{\circ}$
[1994]
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Answer:
Correct Answer: 6. (d)
Solution:
- (d) Impact parameter for Rutherford scattering experiment,
$b=\frac{Z e^{2} \cot (\frac{\theta}{2})}{4 \pi \epsilon_0 k_i}=0 \Rightarrow \cot (\frac{\theta}{2})=0$
$\Rightarrow \frac{\theta}{2}=90^{\circ}$ or $\theta=180^{\circ}$
For large value of $b$, alpha particle will go undeviated and for small $b$ the alpha particle will suffer large scattering.