Sound WavesHard

Question

A wave disturbance in a medium is described by y(x, t) = 0.02 coscos(10πx), where x and y are in meter and t is in second : -

Options

A.A node occurs at x = 0.15 m
B.An antinode occurs at x = 0.3 m
C.The speed of wave is 5 ms-1
D.The wavelength is 0.2 m

Solution

= 10π ⇒ λ = 0.2 m
Node occurs at x = = 0.05 m, 0.15 m,......;
Antinode occurs at x = ...... = 0.1m, 0.2m, 0.3m,.....;
wave speed v = = 5m/s

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