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Question: t an electron revolves around a proton, then its time period T is (R = radius of orbit) –...

t an electron revolves around a proton, then its time period T is (R = radius of orbit) –

A

µR2

B

µR3/2

C

µ R3

D

None

Answer

µR3/2

Explanation

Solution

T = 2πRv\frac{2\pi R}{v} = 2πRe4πε0mR\frac{2\pi R}{\frac{e}{\sqrt{4\pi\varepsilon_{0}mR}}} = 2π4πε0mR3e\frac{2\pi\sqrt{4\pi\varepsilon_{0}mR^{3}}}{e}

T µ R3/2s