The magnetic susceptibility of a metrial of a rod is 299. Permeatbility of vaccum `mu_(0)` find the permeatibility?

Options

A. `3777 xx 10^(-7)Hm^(-1) `
B. `3771 xx 10^(-5)Hm^(-1) `
C. `3770 xx 10^(-6)Hm^(-1)`
D. `3771 xx 10^(-8) Hm^(-1)`

Answer

A

Explanation

Given , magnetic susceptibility , `chi_(m)=299`
Permeability , `mu_(0) =4pi xx 10^(-7) Hm^(-1), mu=?`
We know that `mu=mu_(0)(1+chi_m)`
Absolute permeability of the material , ` mu= 4pi xx 10^(-7)(1+ 299) =4 xx (22)/(7) xx 10^(-7) xx 300 `
`=(26400)/(7) xx 10^(-7)=37771.4 xx 10^(-7) Hm^(-1)`
`=3777xx 10^(-7) Hm^(-1)`