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
- A(i) and (iii)
- B(i) and (ii)
- C(iii) and (iv)
- 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