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A gyromagnetic ratio of the electron rev...

A gyromagnetic ratio of the electron revolving in a circular orbit of hydrogen atom is `8.8xx10^(10)C kg^(-1)`. What is the mass of the electron? Given charge of the electron `=1.6xx10^(-19)C`.

A

`1xx10^(-19)c`

B

`0.1 xx10^(-29)` kg

C

`1.1 xx10^(-29) kg`

D

`1//11 xx10^(-29) kg`

Text Solution

Verified by Experts

The correct Answer is:
D
We know that
Magnetic moment M=iA
here `i=(ev)/(2pir)`
`M=(evr)/(2)`

and angular momentum
divinding eq (ii) eq (ii) we get
`(M)/( L)=(e )/(2m)`
where M/L =gyromagnetic ratio
Given
`M//L=8.8xx10^(10) c//kg`
`e=1.6xx10^(-19)C`
`=8/88xx10^(-29)`
`=1/11xx10^(-29) kg`
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