The equation of a simple harmonic wave is given by y = 3 sin 2 π ( 50 t − x ) where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity isNEET 2012

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The equation of a simple harmonic wave is given by y = 3 sin 2 π ​ ( 50 t − x ) where x and y are in metres and t is in seconds. The ratio of maximum particle velocity to the wave velocity isNEET 2012 (Mains)

TestHub · Accepted Answer

We know that ​ v max ​ = aω v = nλ ∴ v v m a x ​ ​ = nλ aω ​ = nπ a ( 2 πn ) ​ = λ 2 πa ​ = 2 π / k 2 πa ​ = ka = 2 π ​ × 3 = 2 3 π ​ ​

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