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Question: According to Bohr’s theory, the angular momentum to an electron in 5th orbit is :...

According to Bohr’s theory, the angular momentum to an electron in 5th orbit is :

A

25 hπ\frac{h}{\pi}

B

1.0 hπ\frac{h}{\pi}

C

10hπ\frac{h}{\pi}

D

2.5hπ\frac{h}{\pi}

Answer

2.5hπ\frac{h}{\pi}

Explanation

Solution

Angular momentum of the electron, mvr =nh2π= \frac{nh}{2\pi} where n = 5 (given)

\ Angular momentum =5h2π=2.5hπ= \frac{5h}{2\pi} = 2.5\frac{h}{\pi}