Physics - Modern Physics Question with Solution | TestHub

The velocity $v$ is proportional to $1/n$,

energy $E$ is proportional to $1/n^2$

and radius $r$ is proportional to $n^2$.

A. $\omega \propto 1/n^3$, so ${\omega }^{2}n\propto 1/n^5$

B. $E/v\propto (1/n^2)/(1/n)=1/n$

C. $v^{2}r\propto (1/n^2)\ast n^2=1$. Therefore, $v^{2}r$ is independent of $n$.

D. $E/r\propto (1/n^2)/n^2=1/n^4$

Therefore, the correct answer is C.