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Question

Physics Question on Bohr's model of hydrogen atom

The figure shows standing de Broglie waves due to the revolution of electron in a certain orbit of hydrogen atom. Then the expression for the orbit radius is (all notations have their usual meanings)
de Broglie waves due to the revolution of electron in a certain orbit of hydrogen atom

A

h20πme2\frac{h^2\in_0}{\pi me^2}

B

4h20πme2\frac{4h^2\in_0}{\pi me^2}

C

9h20πme2\frac{9h^2\in_0}{\pi me^2}

D

36h202πme2\frac{36h^2\in^{2}_0}{\pi me^2}

Answer

36h202πme2\frac{36h^2\in^{2}_0}{\pi me^2}

Explanation

Solution

The correct answer is (D) : 36h202πme2\frac{36h^2\in^{2}_0}{\pi me^2}.