$\sqrt {{d_1}}$ 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 d1 = x d2, the value of x will be ____________.
Answer (integer)
3
Solution
<p>Impact parameter $\propto$ $\cot {\theta \over 2}$</p>
<p>$\Rightarrow \sqrt {{{{d_1}} \over {{d_2}}}} = {{\sqrt 3 } \over 1}$</p>
<p>$\Rightarrow {d_1} = 3{d_2}$</p>
<p>$\Rightarrow x = 3$</p>
About this question
Subject: Physics · Chapter: Atoms and Nuclei · Topic: Bohr's Model of Hydrogen Atom
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