Question 352: Atoms & Nuclei

Question

$\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 ____________.

Accepted Answer

Impact parameter $\propto$ $\cot {	heta  \over 2}$
$ \Rightarrow \sqrt {{{{d_1}} \over {{d_2}}}}  = {{\sqrt 3 } \over 1}$
$ \Rightarrow {d_1} = 3{d_2}$
$ \Rightarrow x = 3$

Atoms & Nuclei

\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 ____________.

Integer / Numeric Answer Type