In Geiger-Marsden experiment, the number of scattered $\alpha$-particles $N( heta)$ is plotted as a

Question

In Geiger-Marsden experiment, the number of scattered $\alpha$-particles $N(	heta)$ is plotted as a function of scattering angle $	heta$. Which of the following options represents the correct plot?

Accepted Answer

Sol. [Key Concept: Rutherford scattering — N(θ) ∝ 1/sin⁴(θ/2)] Number of scattered $\alpha$-particles at angles $(\alpha$ )$$\begin{matrix} & \ = K 	imes \frac{1}{\sin^{4}\left( \frac{\alpha}{2} ight)} \ & \ = N(	heta) = \frac{K}{\sin^{4}\left( \frac{	heta}{2} ight)} \end{matrix}$$Graph will be

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