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