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JEE Main2014PhysicsMagnetic Properties of MatterActual

The magnetic field of earth at the equator is approximately 4 × 1 0 - 5 T . The radius of earth is 6.4 × 1 0 6 m . Then the dipole moment of the earth will be nearly of the order of :

Options

  1. A10 20 A m 2
  2. B10 16 A m 2
  3. C10 10 A m 2
  4. D10 23 A m 2

Correct answer

D. 10 23 A m 2

Step-by-step solution

B = μ 0 4 π · M d 3 = 1 0 - 7 × M 6.4 × 1 0 6 3 ∴    4 × 1 0 - 5 = 1 0 - 7 × M 6.4 × 1 0 6 3 ∴    M = 6.4 × 1 0 6 3 × 4 × 1 0 - 5 1 0 - 7 = 6.4 3 × 1 0 1 8 × 4 × 1 0 2 = 6.4 3 × 4 × 1 0 2 0 = 1 . 0 4 8 × 1 0 2 3 ≈ 10 23   A m 2

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