Q142 / 160 · AP EAMCET 2009 · Physics

Four light sources produce the following four waves : (i) $y_1=a \sin \left(\omega t+\phi_1\right)$ (ii) $y_2=a \sin 2 \omega t$ (iii) $y_3=d^{\prime} \sin \left(\omega t+\phi_2\right)$ (iv) $y_4=d^{\prime} \sin (3 \omega t+\phi)$ Superposition of which two waves give rise to interference?

  • A
    (i) and (ii)
  • B
    (ii) and (iii)
  • Correct answer
    C
    (i) and (iii)
  • D
    (iii) and (iv)

Solution

Interference phenomenon takes place between two waves which have equal frequency and propagate in same direction. Hence, $\begin{aligned} & y_1=a \sin \left(\omega t+\phi_1\right) \\ & y_3=d^{\prime} \sin \left(\omega t+\phi_2\right) \end{aligned}$ will give rise to interference as the two waves have same frequency $\omega$.

Hence, the correct answer is option: 'C'.

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