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Magnetic Field

Find the rati...

Question

Find the ratio of magnetic dipole moment to angular momentum in a hydrogen like atom :

A

\frac{e}{m}

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B

\frac{e}{2 m}

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C

\frac{e}{3 m}

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D

\frac{2 e}{m}

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E

\frac{3 e}{m}

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Solution

The correct option is B $\frac{e}{2 m}$
For Hydrogen atom,
$\frac{M}{L}$ $= \frac{i A}{m v r}$
$= \frac{\frac{e v}{2 π r} \times π r^{2}}{m v r}$
$= \frac{e}{2 m}$

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