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`.

Options

A. `1.1xx10^(-29)`kg
B. `1xx10^(-29)` kg
C. `1/11 xx 10^(-29)` kg
D. `0.1xx10^(-29)` kg

Answer

C

Explanation

Gyromagnetic ratio of an electron
`= (e)/(2m_(e))`
`=8.8xx10^(10)C kg^(-1)`
`:.` Mass of the electron,
`m_(e)=(e)/(2xx8.8xx10^(10)C kg^(-1))=(1.6xx10^(-19)C)/(2xx8.8xx10^(10)C kg^(-1))`
`0.0909xx10^(-29)`kg
`=(1)/(11)xx10^(-29)`kg