\( \sqrt{d_{1}} \) and \( \sqrt{d_{2}} \) are the impact parameters corresponding to scattering ...

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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) 2
(b) 3
(c) 4
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