What is the correct value of Bohr magneton?

Options

A. `8.89 xx 10^(-24)A m^(2)`
B. `9.27 xx 10^(-24)A m^(2)`
C. `5.56 xx 10^(-24)A m^(2)`
D. `9.27 xx 10^(-28)A m^(2)`

Answer

B

Explanation

Bohr Magnetron
`(mu_(l))_("min")=mug=(e)/(4pim_(e))h`
Here, `e=1.6xx10^(-19)C, h=6.64xx10^(-34)"J s"`
`m_(e)=9.1xx10^(-31)kg`
`therefore" "mu_(B)=(1.60xx10^(-19)xx6.64xx10^(-34))/(4xx3.14xx9.1xx10^(-31))=9.27xx10^(-24)" A m"^(2)`