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Q.

Two magnets of magnetic moments M and $\sqrt{3}$ M are joined to form a cross +. The combination is suspended freely in a uniform magnetic field. In the equilibrium position, the angle between the magnetic moment $\sqrt{3}$ M and the field is

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a

30^o

b

45^o

c

60^o

d

90^o

answer is A.

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Detailed Solution

The cross will be in equilibrium when the torque on both of the magnets are balanced.

$\sqrt{3} MBsinθ = MBsin (90 - θ)$

$\Rightarrow tanθ = \frac{1}{\sqrt{3}} \Rightarrow θ = 30 °$

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Two magnets of magnetic moments M and 3M are joined to form a cross +. The combination is suspended freely in a uniform magnetic field. In the equilibrium position, the angle between the magnetic moment 3M and the field is