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NEET2024PhysicsMagnetic Properties of MatterActual

The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, 1.0 10⁻² ~A ~m and 10⁻⁶ ^2 ~kg ~m ^2 . If it completes 10 oscillations in 10 s , the magnitude of the magnetic field is

Options

  1. A0.4 T
  2. B4 T
  3. C0.4 mT
  4. D4 mT

Correct answer

C. 0.4 mT

Step-by-step solution

Time period of oscillation of magnet inside the magnetic field T=2 1 M B T= t n = 10 10 =1 ~s 1=2 10⁻⁶ ^2 1.0 10⁻² B 1 4 = 10⁻⁴ B B=0.4 mT

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