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 osicullation of that needle ?

Explanation

`nalphasqrtB rArr(n_(1))/(n_(2))=sqrt((B_(1))/(B_(2))`
Where `B_(1)=sqrt((B^(2)+B_(H)^(2))=sqrt((B_(H) tan 45^(@))^(2)+B_(H)^(2))`
`=sqrt2B_(H) & B_(2)=B_(H)`
`therefore (n_(2))=sqrt((sqrt2B_(H))/(B_(H)))=2^(1//4) rArrn_(2)=(n_(1))/(2^(1//4))=(f)/(2^(1//4))`