The displacement y (in cm) produced by a simple harmonic wave is y = π 10 sin [ 2000 π t − 17 π x ] . The time period and maximum velocity of the particles in the medium are respectively:

Question

The displacement y (in cm) produced by a simple harmonic wave is y = π 10 ​ sin [ 2000 π t − 17 π x ​ ] . The time period and maximum velocity of the particles in the medium are respectively:

TestHub · Accepted Answer

ω = 2000 π so T = 2 π / ω = 1 0 − 3 s. v ma x ​ = A ω = π 10 ​ × 2000 π = 20000 cm/s = 200 m/s.

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