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