The equation of a progressive wave is Y = a sin 2 (nt- x 5 ). The ratio of maximum particle velocity to wave velocity is

MHT CET 2023 Physics question

The equation of a progressive wave is Y = a sin . The ratio of maximum particle velocity to wave velocity is

(A)
(B)Correct
(C)
(D)

Answer: (B)

Solution

Compare with : the frequency is and the wavelength is (in the same length unit). The particle velocity is , so its maximum value is . The wave velocity is . Therefore

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Question ID VK-097841