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A magnet oscillating in a horizontal pla...

A magnet oscillating in a horizontal plane has a time period of 2 seconds at a place where the angle of dip is `30^(@)` and 3 seconds at another place where the angle of dip is `60^(@)`. The retio of resultant magnetic field at the two places is

A

`4sqrt(3)/7`

B

`4/9sqrt(3)`

C

`9/4sqrt(3)`

D

`9/sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
3
`T alpha 1/sqrt(B_(H))=/sqrt(Bcos phi) rArr T_(1)/T_(2)=sqrt(B_(2)cos phi_(2)/B_(2)cos phi(1))`
`rArr B_(1)/B_(2)=T_(2)^(2)/T_(1)^(2) xx cos phi_(2)/cos phi_(1)=(3/2)^(2) xx cos60/cos30 rArr B_(1)/B_(2)=9/4sqrt(3)`
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