When a short bar magnet is kept in tan A position on a deflection magnetometer, the magnetic needle oscillates with a frequency `'f'` and the deflection produced is `45^(0)`. If the bar magnet is removed find the frequency of oscillation of that needle ?

Explanation

`nalphasqrtBrArrn_(1)/n_(2)=sqrt(B_(1)/B_(2))`
Where `B_(1)=sqrt(B^(2)+B_(H)^(2))=sqrt((B_(H)tan45^(@))^(2)+B_(H)^(2))`
`=sqrt2B_(H)&B_(2)=B_(H)`
`thereforen_(1)/n_(2)=sqrt((sqrt2B_(H))/B_(H))=2^(1//4)rArrn_(2)=n/(2^(1//4))=f/2^(1//4)`