A plane progressive wave is represented by the equation y=0.1sin200πt−20πx17 where y is displacement in m, t in second and x is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are

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100 Hz, 1.7 m, 170 m/s

150 Hz, 2.4 m, 200 m/s

80 Hz, 1.1 m, 90 m/s`

120 Hz, 1.25 m, 207 m/s

answer is A.

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Detailed Solution

Comparing the given equation with standard equation We get ω=2πn=200π⇒ n = 100 Hz k=20π17⇒λ=2πk=2π20π/17=1.7 mand v=ωk=200 π20π/17=170 m/s.

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