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Q.

When a wave travels in a medium the displacements of particles are given by y=0.01sin2π(2t0.01x)  where  x,y are in meter and t in seconds. Find wavelength, wave velocity.

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a

300 m, 400 m/sec

b

200 m, 500 m/sec

c

100 m, 200 m/sec

d

zero, 300 m/sec

answer is A.

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Detailed Solution

The given equation is  y=0.01sin4πt0.01×2πx Comparing this equation with y=Asinwtkx   we get ,   Amplitude A=0.01m  Frequency w=4π rad/s 2πn=4π n=2Hz  Wavelength k=0.01×2π2π/λ=2π/100λ=100m Wave Speedv=nλ=2×100=200m/s 

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