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Question

Physics Question on Waves

Equation of progressive wave is y=A sin(160t0.5x)y = A\text{ sin}(160t-0.5x). Let the speed of the wave be 10x then, find x.

Answer

The correct answer is 32
From given equation,
ω = 160 and k = 0.5
∴ Speed of wave,
v=ωkv=\frac{\omega}{k}
=1600.5=320 m/s=\frac{160}{0.5}=320\ \text{m/s}