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Question

According to the Bohr's atomic model, the relation between principal quantum number (n) and radius of orbit(r) is?


A
rn2
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B
r1n2
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C
r1n
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D
rn
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Solution

The correct option is D $$r\propto n$$
Electron angular momentum about the nucleus is an integer multiple of $$\displaystyle\frac{h}{2\pi}$$, where h is Planck's constant.
Thus, $$I\omega =mvr=\displaystyle \frac{nh}{2\pi}$$
Hence $$r\propto n$$.

Physics

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