Question 445: Atoms & Nuclei

Question

The angular momentum of the electron in the third Bohr orbit of hydrogen atom is ' $l$ '. Its angular momentum in the fourth Bohr orbit is

Accepted Answer

Angular momentum of an electron in the nth Bohr orbit of hydrogen atom,
$$\begin{aligned}
& \mathrm{L}=\frac{\mathrm{nh}}{2 \pi} \
& \Rightarrow \mathrm{~L} \propto \mathrm{n}
\end{aligned}$$
$$\begin{aligned}
	herefore \quad & \frac{\mathrm{L}_1}{\mathrm{~L}_2}=\frac{l}{\mathrm{~L}^{\prime}}=\frac{3}{4} \
& \mathrm{~L}^{\prime}=\frac{4}{3} l
\end{aligned}$$

Answer

$4 l$

Answer

$\frac{4}{3} l$

Answer

$\frac{5}{4} l$

Answer

$\frac{3}{2} l$

Atoms & Nuclei

The angular momentum of the electron in the third Bohr orbit of hydrogen atom is ' l '. Its angular momentum in the fourth Bohr orbit is

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