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JEE Main20207 Jan 2020Evening ShiftPhysicsElectromagnetic InductionActual

A planar loop of wire rotates in a uniform magnetic field. Initially, at t = 0 , the plane of the loop is perpendicular to the magnetic field. If it rotates with a period of 10 s about an axis in its plane then the magnitude of induced emf will be maximum and minimum, respectively at:

Options

  1. A2.5   s and 7.5   s
  2. B2.5   s and 5.0   s
  3. C5.0   s and 7.5   s
  4. D5.0   s and 10 . 0   s

Correct answer

B. 2.5   s and 5.0   s

Step-by-step solution

Φ = B → · A   → = B A cos θ   = B A cos ω t e = d ϕ d t   = B A ω sin ω t When ω t = π 2 ∵ ϕ will be minimum. ∴ e will be maximum t = π 2 π 5 = 2 . 5   s When ω t = π ∵ ϕ will be maximum. ∴ e will be minimum t = π π / 5 = 5   s

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