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12.Atoms
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$\sqrt{d_{1}}$ and $\sqrt{d_{2}}$ are the impact parameters corresponding to scattering angles $60^{\circ}$ and $90^{\circ}$ respectively, when an $\alpha$ particle is approaching a gold nucleus. For $d_{1}=x d_{2}$, the value of $x$ will be ________
A
$3$
B
$4$
C
$5$
D
$7$
(JEE MAIN-2022)
Solution
$\sqrt{d} \propto \cot \frac{\theta}{2}$
$\cot ^{2} 30^{\circ}=x \cot ^{2} 45^{\circ}$
$3=x$
Standard 12
Physics
