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When a bar magnet is placed at 90^(@) to...

When a bar magnet is placed at `90^(@)` to a uniform magnetic field, it is acted upon by a couple which is maximum. For the couple to be half of the maximum value, at what angle should the magnet be inclined to the magnetic field `(B)`?

A

`45^(@)`

B

`30^(@)`

C

`60^(@)`

D

`75^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B

`tau=MB sin theta` for `theta=90^(@), tau` is maximum
Thus, `tau_(1)=MB and tau_(2) =MB sin theta`
`:. tau_(1)/tau_(1) =1/2 =(MB sin theta)/(MB)=sin theta`
`:. sin theta=1/2 :. theta=30^(@)`
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