Orbital acceleration of electron is

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12.Atoms

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Orbital acceleration of electron is

A

$\frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}$

B

$\frac{{{n^2}{h^2}}}{{2{n^2}{r^3}}}$

C

$\frac{{4{n^2}{h^2}}}{{{\pi ^2}{m^2}{r^3}}}$

D

$\frac{{4{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}$

Solution

(a)$mvr = \frac{{nh}}{{2\pi }}$ ==> $v = \frac{{nh}}{{2\pi mr}}$ ==> $\frac{{{v^2}}}{r} = \frac{{{n^2}{h^2}}}{{4{\pi ^2}{m^2}{r^3}}}$.

Standard 12

Physics

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