Question

$\sqrt{d_1}$ and $\sqrt{d_2}$ are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For d 1 = xd 2, the value of x will be ______.

Answer 1

The correct answer is: 3

$=∝ cot \,\frac{θ}{2}$
$⇒ \sqrt{\frac{d_1}{d_2}} =\frac{\sqrt{3}}{1}$

$⇒$ $d_1 = 3d_2$

$⇒ x = 3$