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When a wave travels in a medium the displacements of particles are given by $y = 0.01 \sin [2 π (2 t - 0.01 x)]$ where $x, y$ are in meter and $t$ in seconds. Find wavelength, wave velocity.

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detailed solution

Correct option is A

The given equation is y=0.01sin4πt−0.01×2πx Comparing this equation with y=Asinwt−kx we get , Amplitude A=0.01m Frequency w=4π rad/s ⇒2πn=4π ⇒n=2Hz Wavelength k=0.01×2π⇒2π/λ=2π/100λ=100 m Wave Speed∴v=nλ=2×100=200 m/s

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

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Ready to Test Your Skills?

free study material

When a wave travels in a medium the displacements of particles are given by $y = 0.01 \sin [2 π (2 t - 0.01 x)]$ where $x, y$ are in meter and $t$ in seconds. Find wavelength, wave velocity.