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Question

Question: The angular speed of the electron in n<sup>th</sup> orbit of Bohr's hydrogen atom is proportional to...

The angular speed of the electron in nth orbit of Bohr's hydrogen atom is proportional to –

A

n

B

1n\frac{1}{\sqrt{n}}

C

1n2\frac{1}{n^{2}}

D

1n3\frac{1}{n^{3}}

Answer

1n3\frac{1}{n^{3}}

Explanation

Solution

w = vr\frac{v}{r}

v µ 1n\frac{1}{n} and r µ n2

hence w µ 1n3\frac{1}{n^{3}}