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Question: If E<sub>n</sub> and J<sub>n</sub> denote the magnitudes of total energy and of angular momentum of ...

If En and Jn denote the magnitudes of total energy and of angular momentum of electron in the nth allowed orbit of Bohr’s orbit. Then-

A

EnµJn

B

Enµ1Jn\frac{1}{J_{n}}

C

EnµJn2J_{n}^{2}

D

Enµ 1Jn2\frac{1}{J_{n}^{2}}

Answer

Enµ 1Jn2\frac{1}{J_{n}^{2}}

Explanation

Solution

Jn = mvr = nh2π\frac{nh}{2\pi}

Jn µ n

En µ 1n2\frac{1}{n^{2}}µ 1Jn2\frac{1}{J_{n}^{2}}