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A transverse wave propagating along x-axis is represented by y(x,t)=8.0 sin (0.5π x-4π t-π/4) where x is in metres and t is in seconds. The speed of the wave is

Asked in NEET 2006 · Wave parameters from the equation

Answer: (1) 8 m/s

Step-by-step solution

Given: y=8.0 sin (0.5π x-4π t-π/4).

Idea: read k and ω off the equation; the speed is their ratio.

k=0.5π m⁻¹, so λ=(2π)/(0.5π)=4 m.

ω=4π rad s⁻¹, so T=(2π)/(4π)=0.5 s and f=2 Hz.

v=ω/k=fλ=2×4.

v=8 m/s.

Why the other options are wrong

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