√ d 1 and √ d 2 are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For d1=x d2, the value of x will be

Question

√ d 1 and √ d 2 are the impact parameters corresponding to scattering angles 60° and 90° respectively, when an α particle is approaching a gold nucleus. For d1=x d2, the value of x will be (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

√ d propto cot (θ/2) cot 2 30°=x cot 2 45° 3=x

Q. $d_{1}$ and $d_{2}$ are the impact parameters corresponding to scattering angles $6 0^{\circ}$ and $9 0^{\circ}$ respectively, when an $α$ particle is approaching a gold nucleus. For $d_{1} = x d_{2}$ , the value of $x$ will be______

$d \propto cot \frac{θ}{2}$
$cot^{2} 3 0^{\circ} = x cot^{2} 4 5^{\circ}$
$3 = x$

Q. d1​​ and d2​​ are the impact parameters corresponding to scattering angles 60∘ and 90∘ respectively, when an α particle is approaching a gold nucleus. For d1​=xd2​, the value of x will be______

d​∝cot2θ​ cot230∘=xcot245∘ 3=x

Q. $d_{1}$ and $d_{2}$ are the impact parameters corresponding to scattering angles $6 0^{\circ}$ and $9 0^{\circ}$ respectively, when an $α$ particle is approaching a gold nucleus. For $d_{1} = x d_{2}$ , the value of $x$ will be______

$d \propto cot \frac{θ}{2}$
$cot^{2} 3 0^{\circ} = x cot^{2} 4 5^{\circ}$
$3 = x$