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A transverse sinusoidal wave of waveleng...

A transverse sinusoidal wave of wavelength 20 cm is moving along a string towards increasing x. The transverse displacement of the string particle at as a function of time is shown in Figure.
The equation of the wave with all the constants evaluated is:

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
B
Wavelength `lamda=20cm`
From the graph given in question,
Amplitude `A=4cm`
Time period, `T=10sec`
`therefore`Frequency, `f=(1)/(T)=0.1Hz`
From given graph
At t=0, velocity of particle at position x=0, along +y direction
`v_(p)=-v((dy)/(dx))`
Slope of wave-curve, `(dy)/(dx)=-(V_(p))/(V)=-(("Positive")/("Positive"))=`negative
And at t=0, at x=0, y=0
So option (B) satisfies the values.
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