A transverse sinusoidal wave of wavelength 20 cm is moving along a string towards increasing x. the transverse displacement of the string particle at x=0 as a function of time is shown in figure.

Q. Skecth of one wavelength of the wave (the portion between x=0 and x=20cm) at time t=0 is:

Options

A.
B.
C.
D.

Answer

B

Explanation

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.