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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 x=0 as a function of time is shown in figure.

Q. The velocity of propagation of the wave is ?

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(i) A sinusoidal wave is travelling along positive x direction and the displacements at two positions x = 0 and x = 1 m are given by y (0, t) = 0.2 cos (3 pi t) and y(1, t)=0.2 cos (3pit+pi/8) Find all possible wavelength of the wave if it is known that wavelength is greater than 0.4 m. (ii) A transverse sine wave of amplitude a = 0.1 cm is travelling along a string laid along the x-axis. The displacement (y) – time (t) graph of the string particle at x = 0.1 m is shown in first figure. The shape of the string at time t = 0.1 s is shown in second figure. At this time the particle at x = 0.11 m is having velocity in positive y direction write the equation of wave.