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Two short magnets P and Q are placed one...

Two short magnets P and Q are placed one over another with their magnetic axes mutually perpendicular to each other. It is found that resultant magnetic field at a point on the prolongation of magnetic axis of P is inclined at `30^@` with this axis. Compare the magnetic moments of the two magnets.

A

`M_(1)/M_(2)=sqrt(3)`

B

`M_(1)/M_(2)=2/sqrt(3)`

C

`M_(1)/M_(2)=1/sqrt(3)`

D

`M_(1)/M_(2)=sqrt(3)/2`

Text Solution

Verified by Experts

The correct Answer is:
D

A is an axial point for P and equatorial point for Q as the magnets are short. `B_(1)/B_(2)=(2M_(1))/M_(2)` and from the figure
`tan 30^(@)=B_(2)/B_(1)=1/sqrt(3) or B_(1)/B_(2)=sqrt(3)/1`
`:. (2M_(1))/M_(2) =sqrt(3) :. M_(1)/M_(2)=sqrt(3)/2`
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