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A magnet is suspended in such a way that...

A magnet is suspended in such a way that it oscillates in the horizontal plane. It makes 20 oscillations per minute at a place where dip angle is `30^(@)` and 15 oscillations minute at a place where dip angle is `60^(@)`. The ratio of total earth's magnetic field at the two places is

A

`3sqrt3:8`

B

`16:9sqrt3`

C

`4:9`

D

`2sqrt2:3`

Text Solution

Verified by Experts

The correct Answer is:
B
Time period of suspended magnet
`T=2pisqrt((I)/(MB cos delta)) Rightarrowv=(1)/(2pi) sqrt((MB cos delta)/(1))`
`v alpha sqrt(Bcos delta)`
`(B_(1))/(B_(2))=(400)/(cos 30^(@))xx(cos60^(@))/(225)=(16xx2)/(9xxsqrt3)=16:9sqrt3`
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