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The frequncy of vibration in a vibration magnetometer of the combination of two bar magnets of magnetic moments M₁ and M₂ is 6 ~Hz when like poles are tied and it is 2 ~Hz when the unlike poles are tied together, then the ratio M₁: M₂ is

Options

  1. A4: 5
  2. B5: 4
  3. C1: 3
  4. D3: 1

Correct answer

B. 5: 4

Step-by-step solution

In the sum and difference method of vibration magnetometer, M₁ M₂ = T₂^2+T₁^2 T₂^2-T₁^2 Here, T₁= 1 n₁ = 1 6 ~s T₂= 1 n₂ = 1 2 ~s M₁ M₂ = 1 4 + 1 36 1 4 - 1 36 + 9+1 36 9-1 36 = 10 8 = 5 4 M₁: M₂=5: 4

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