Wave Mechanics Question 720

Question: The following equations represent progressive transverse waves $ Z _{1}=A\cos (\omega ,t-kx) $ , $ Z _{2}=A\cos (\omega ,t+kx) $ , $ Z _{3}=A\cos (\omega ,t+ky) $ and $ Z _{4}=A\cos (2\omega ,t-2ky) $ . A stationary wave will be formed by superposing

[MP PET 1993]

Options:

A) $ Z _{1} $ and $ Z _{2} $

B) $ Z _{1} $ and $ Z _{4} $

C) $ Z _{2} $ and $ Z _{3} $

D) $ Z _{3} $ and $ Z _{4} $

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Answer:

Correct Answer: A

Solution:

When two waves of equal frequency and travelling in opposite direction superimpose, then the stationary wave is produced. Hence Z1 and Z2 produces stationary wave.