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MHT CET202311 May 2023Evening ShiftPhysicsElectromagnetic InductionActual

A coil having effective area ' A ' is held with its plane normal to a magnitude field of induction ' B '. The magnetic induction is quickly reduced to 25 % of its initial value in 1 second. The e.m.f. induced in the coil (in volt) will be

Options

  1. ABA 4
  2. BBA 2
  3. C3 BA 8
  4. D3 BA 4

Correct answer

D. 3 BA 4

Step-by-step solution

The formula for induced emf is e = t , where = BA Here, the area is constant and the magnetic field is changing. aligned & = B A & =A B & B=B₁-B₂ & B₁=B and B₂= 25 200 B= 1 4 B & B=B- 1 4 B & B= 3 4 B aligned Substituting the values, aligned e & = t e & = A 3 4 ~B 1 e & = 3 4 AB aligned

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