Five different waves travelling in the same direction are represented by:
(A) $y_1=a_1 \sin \omega t$
(B) $y_2=a_2 \sin 2 \omega t$
(C) $y_3=a_3 \sin 3 \omega t$
(D) $y_4=a_4 \cos \omega t$
(E) $y_5=a_5 \sin (\omega t+\pi / 3)$
Choose the correct answer from the options given below for interference to take place:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → (A) and (E), (A) and (D), (D) and (E)
For interference to take place, the wave must have the same frequency.
$∴y_1,y_4$ and $y_5$ have the same frequency.