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The ratio of magnetic moments of two sho...

The ratio of magnetic moments of two short magnets which give deflection in "tan"B position when placed at 12 cm and 18 cm from centre of a deflection magnetometer is

A

`2/3`

B

`4/9`

C

`8/27`

D

`8/9`

Text Solution

Verified by Experts

The correct Answer is:
C
In deflection magnetometer the magnetic field,
`B=(mu_(0))/(4pi)(2M)/(d^(3))`
Ratio magnetic moments,
`(M_(1))/(M_(2))=((d_(1))/(d_(2)))^(3)`
`d_(1)=12cm, d_(2)=18 cm` (Given)
`(M_(1))/(M_(2))=(12/18)^(3)=(2/3)^(3)`
`(M_(1))/(M_(2))=8/27`
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