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Question

In Bohr model of hydrogen atom, the force on the electron depends on the principle quantum number as


A
F1/n3
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B
F1/n4
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C
F1/n5
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D
Does not depends on n
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Solution

The correct option is B $$F \propto 1/n^4$$
$$F \propto \dfrac{\nu^2}{r} $$ also $$\nu \propto \dfrac{1}{n} $$ and $$\ r \propto n^2 $$
$$\Rightarrow F \propto \dfrac{1}{n^4}$$

Physics

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