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Q.

The equation of a simple harmonic wave is given by y = 3 sin π2(50t-x)where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity is

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a

b

32π

c

d

23π

answer is .

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Detailed Solution

We now that vmax = aω and v = nλ∴ vmaxv = aωnλ = a(2πn)nπ = 2πaλ                = 2πa2πk = ka = π2×3 = 3π2
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