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Figure shows a small magnetised needle P...

Figure shows a small magnetised needle P placed at a point O. The arrow shows the direction of magnetic moment. The other arrows show different positions (and orientations of the magnetic moment) of another identical magnetised needle Q.

(a) In which configuration is the system not in equilibrium?
(b) In which configuration is the system in (i) stable and (ii) unstable equilibrium?
(c) Which configuration corresponds to the lowest potential energy among all the configurations shown?

A

`PQ_(3)`

B

`PQ_(4)`

C

`PQ_(5)`

D

`PQ_(6)`

Text Solution

Verified by Experts

The correct Answer is:
D
As potential energy is given as
`theta=tan^(-1)((tan delta_(1))/(tan delta_(2)))`
Hence, M and B parallel to each other for minimum potential energy.
`PO_(6)` configuration provides `theta=0(@), U_(min)=-MB`
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