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Concepts Of Physics MCQ Edition [Volume 1]PhysicsLight Waves

Consider four light waves given by the expressions: (i) y = a₁ t (ii) y = a₂ ( t + ) (iii) y = a₁ 2 t (iv) y = a₂ 2( t + ) Interference fringes can be produced by the superposition of

Options

  1. A(i) and (iii)
  2. B(i) and (ii)
  3. C(iii) and (iv)
  4. D(ii) and (iv)

Correct answer

C. (iii) and (iv)

Step-by-step solution

For sustained interference fringes to be produced, the superposing light waves must be coherent. Coherent waves must have the same frequency and a constant phase difference with respect to time. The angular frequency of wave (i) is . The angular frequency of wave (ii) is . The angular frequency of wave (iii) is 2 . The angular frequency of wave (iv) is 2 . Waves (i) and (ii) have the same frequency and a constant phase difference . Waves (iii) and (iv) have the same frequency 2 and a constant phase difference 2 . T

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