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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a
100 Hz, 1.7 m, 170 m/s
b
150 Hz, 2.4 m, 200 m/s
c
80 Hz, 1.1 m, 90 m/s`
d
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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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