Q.

M and M3 are the magnetic dipole moments of the two magnets, which are joined to form a cross as shown in figure. The inclination of the system with the field, if their combination is suspended freely in a uniform external magnetic field B is M and  are the magnetic dipole moments of the two magnets, which are joined to form a cross figure. The inclination of the system with the field, if their combination is suspended freely in a uniform external magnetic field B is

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a

θ=30o

b

θ=45o

c

θ=60o

d

θ=15o

answer is C.

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Detailed Solution

Torque acting on magnet (1) is τ1=MBsinθTorque acting on magnet (2) is τ2=3MBsin90−θFor equilibrium , τ1=τ2⇒MBsinθ=3MBsin90−θ⇒tanθ=3⇒θ=60o
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