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Q.

M and  3 M are the magnetic dipole moments of two bar magnets which are joined to form a cross (+) structure. The combination  is suspended freely in a uniform magnetic field . In the equilibrium position ,the angle between the bar magnet of magnetic moment M and the uniform magnetic field is

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a

θ=30°

b

θ=450

c

θ=600

d

θ=90°

answer is C.

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Detailed Solution

Let the magnet having magnetic moment M makes an angle θ with the magnetic field.Then, the magnet having magnetic moment 3M makes an angle (90−θ) with the  magnetic  field. In equilibrium, both the torques are balanced. MB sin⁡θ=3MBsin⁡(90−θ)=3MBcos⁡θ⇒tan⁡θ=3=tan⁡60∘⇒θ=60∘
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