(b) Sketch the graph of displacement against distance graph for progressive wave above ina range of 0 ≤ 𝑥 ≤ 𝜆 at time, t = 0 s.

a plane progressive transverse wave is passing through medium along the positive x-axis at the given instant time . the nature ofbthe displacement , position(y-x) graph is as shown in figure .which of the following statements are correct .(consider A,B,C are three particles of the vibrating string)

The solid line in the graph shows the variation with distance x of the displacement y of atravelling wave at t = 0. The dotted line shows the wave 0.20 ms later. The period of the waveis longer than 0.20 ms.6420– 2– 4– 60.20.0 0.4 0.8 1.00.6y / cmx / mPQ(a) (i) Calculate, in m s–1, the speed for this wave.

The displacement of a wave is given by y = 0.001 sin (100t + x) where x and y are in metre and t is insecond. This represents a wave(a) of wavelength one metre.(b) travelling with a velocity of 100 m/s in the negative x-direction.(c) of frequency (100/π) Hz.(d) travelling with a velocity of 50 π m/s in the positive x-direction

A sinusoidal wave traveling in the +𝑥 direction (to the right) has an amplitude of 15.0 cm, a wavelength of 10.0 cm and a frequency of 20.0 Hz. At t = 0, a particle at x = 0 has a displacement of 15.0 cm.(a) Write an expression for the wave function, y(x, t).20:39

A progressive wave is represented by the equation𝑦(𝑥, 𝑡) = 2sin⁡(𝜋𝑡 − 𝜋𝑥)where y and x are in centimeters and t in seconds.(a) Determine the angular frequency, the wavelength, the period, the frequency and thewave speed