    Question

# Transverse waves on a string have wave speed 8.00 m/s, amplitude 0.0700 m and wavelength 0.32 m. The waves travel in the negative x-direction and t=0 the x=0 end of the string has its maximum upward displacement. Write a wave function describing the wave.

A
y(x,t)=(0.07m)sin2π(x0.32m+t0.04s)
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B
y(x,t)=(77m)cos2π(x0.32m+t0.04s)
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C
y(x,t)=(0.7m)sin4π(x0.32m+t0.04s)
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D
y(x,t)=(0.97m)sin2π(x0.32m+t0.04s)
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Solution

## The correct option is A y(x,t)=(0.07m)sin2π(x0.32m+t0.04s)A left travelling transverse wave given by y=Asin(kx+ωt)where wave number,k=2πλ=2π0.32rad/mSpeed of wave=λν=8m/s⟹ν=80.32Hz=25Hz⟹ω=2πν=2π0.04sThus y=(0.07m)sin2π(x0.32m+t0.04s)  Suggest Corrections  0      Similar questions  Related Videos   Deep Dive into Velocity
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