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 answerC(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'.