Single Choice

According to Bohr theory, the angular momentum for an electron of $$5$$th orbit is:

A$${5h}/{\pi}$$
B$${2.5h}/{\pi}$$
Correct Answer
C$${5\pi}/{h}$$
D$${25h}/{\pi}$$

Solution

$$\mathbf{Explanation:}$$

According to $$\mathit{Bohr's\ Theory}$$, the angular momentum of the electron in nth:

$$\mathbf{mvr=\frac{nh}{2\Pi }}\rightarrow (1)$$

$$\therefore $$ the angular moment of the 5th orbit will be:

here put $$n=5$$ in equation 1

Then we get,

$$mvr=\cfrac{5h}{2\Pi }=\cfrac{2.5h}{\Pi }$$

$$\therefore The\ angular\ momentum\ of\ the\ 5th\ orbit\ is\ \frac{2.5h}{\Pi }$$

$$\mathbf{Hence\ the\ correct\ answer\ is\ option\ (B).}$$

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