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Two short bar magnets of dipole moments ...

Two short bar magnets of dipole moments M and `Msqrt(3)` are joined at right angles to form a cross as depicted in the figure . The value of `theta` for which the system remains in equilibrium in a uniform external magnetic field B, is

A

`theta = 30^(@)`

B

`theta = 45^(@)`

C

`theta = 60^(@)`

D

`theta = 15^(@)`

Text Solution

Verified by Experts

The correct Answer is:
C
Torque `(tau)` acting on magnet (1).
`" "tau_(1)=MBsintheta`
`"Similarly "tau_(2)=sqrt(3)MBsintheta`
`therefore" "theta=60^(@)`
But for equilibrium, `tau_(1)=tau_(2)`
`therefore " "MBsintheta=sqrt(3)MBcostheta`
`" "tan theta=sqrt(3)=tan60^(@)`
`therefore" "theta=60^(@)`
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