Physics - Modern Physics Question with Solution | TestHub

According to Bohr's atomic model, the angular momentum of an electron in the $n$-th orbit is given by $L=\frac{nh}{2\pi }$.

For the third Bohr orbit ($n=3$), the angular momentum is $l=\frac{3h}{2\pi }$.

For the fourth Bohr orbit ($n=4$), the angular momentum is $L^{\prime }=\frac{4h}{2\pi }$.

Taking the ratio of the two angular momenta:

$\frac{L^{\prime }}{l}=\frac{4}{3}$

$L^{\prime }=\left(\frac{4}{3}\right)l$

Answer: $\left(\frac{4}{3}\right)l$