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Q.

The graph of the total number of $α$ -particles scattered at different angles in a given interval of time for $α$ -particles scattering in the Geiger- Marsden experiment is given by (Number of scattered particles taken on y-axis and scattering angle $θ$ taken on x-axis)

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a

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b

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c

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d

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answer is A.

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Detailed Solution

According to Rutherford's results from the gold foil experiment,

$y \propto \frac{1}{\sin^{4} \frac{θ}{4}}$ , From 0 to 2π, $\sin^{4} \frac{θ}{4}$ increases

$∴ \frac{1}{\sin^{4} \frac{θ}{4}} decreases.$

Matching option is option -1

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The graph of the total number of α -particles scattered at different angles in a given interval of time for α -particles scattering in the Geiger- Marsden experiment is given by (Number of scattered particles taken on y-axis and scattering angle θ taken on x-axis)