JEE Main 2022 · 29 Jun · Shift 1 · Physics Q57

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PhysicsInteger+4 / -1Question 57 of 90

$\sqrt{d_1}$ and $\sqrt{d_2}$ are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an $\alpha$ particle is approaching a gold nucleus. For $d_1=x\,d_2$ , the value of $x$ will be ______.

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Answer and worked solution

Official answer: 3

Impact parameter $b\propto\cot\frac\theta2$ : $\frac{b_1^2}{b_2^2}=\frac{\cot^230°}{\cot^245°}=3$ , so $d_1=3d_2$ .

Answer: 3

Topics:Rutherford model

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JEE Main 2022 · 29 Jun · Shift 1, Physics question 57