A bar magnet placed in a uniform magnetic field making an angle with the field experiences a torque. If the angle made by the magnet with the field is doubled, the torque experienced by the magnet increases by 41.4 % . The initial angle mad

Question

A bar magnet placed in a uniform magnetic field making an angle with the field experiences a torque. If the angle made by the magnet with the field is doubled, the torque experienced by the magnet increases by 41.4 % . The initial angle made by the magnet with the magnetic field is

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Correct answer: D. 45^

As we know, torque in a magnetic field, aligned & =M B & = _l, aligned Similarly, if = ₂ then aligned ₂=M B ₂ & =M B 2 ₁ Given ₂ & = ₁+ ₁ 41.4 100 & =1.414 ₁= 2 ₁ aligned ( Given, ₂=2 ₁ ) From Eqs. (i) and (ii), we get 1 2 = ₁ 2 ₁ As we know that 2 =2 Hence, 2 ₁ ₁= 2 ₁ 2 = 2 = 1 2 =45^ Hence, the correct option is (d).

A bar magnet placed in a uniform magnetic field making an angle with the field experiences a torque. If the angle made by the magnet with the field is doubled, the torque experienced by the magnet increases by 41.4 % . The initial angle made by the magnet with the magnetic field is

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