A progressive wave is given by y = 10-2 Sin π (2x - 600 t) m. Estimate speed of the wave
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Answer:
The standard equation of a progressive wave is
y=asin(ωt−Kx) ...(ii)
Comparing (i) and (ii), we get
a=5m,ω=100π rad s
−1
,k=o.4πm
−1
(1) Amplitude of the wave, a=5m
(2) Wavelength of the wave, λ=
k
2π
=
0.4π
2π
=5m
(3)Frequency of the wave, υ=
2π
ω
=
2π
100π
=50Hz
(4) Velocity of the wave, ν=υλ=(50s
−1
)(5m)
=250ms
−1
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