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Question

The angular speed $$(\omega)$$ of an electron revolving in $$n^{th}$$ Bohr orbit and corresponding principal quantum number(n) are related as ____________.


A
ωn3
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B
ω1n3
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C
ωn2
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D
ω1n2
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Solution

The correct option is D $$\omega\propto\dfrac{1}{ n^3}$$
Bohr's Model gives the following conclusions,
$$v\propto\dfrac{1}{n}$$
$$\Rightarrow r\propto{n^2}$$
$$\Rightarrow \omega \propto \dfrac vr \propto \dfrac {1}{n^3}$$

Physics

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