For four sine waves, moving on a string along positive x-direction, displacement distance curves (y-x curves) as shown at time t=0. in this right column, expression for y as function of distance x and time t for sinusoidal waves are given. All terms in the equation have their usual meanings. Correctly match y-x curves with corresponding equation.

A wave is propagating in positive x- direction. A time t=0 its snapshot is taken as shown. If the wave equation is y=A sin(omegat-Kx+phi) , then phi is

A wave is propagating in positive x- direction. A time t=0 its snapshot is taken as shown. If the wave equation is y=A sin(omegat-Kx+phi) , then phi is

A wave is propagating in positive x- direction. A time t=0 its snapshot is taken as shown. If the wave equation is y=A sin(omegat-Kx+phi) , then phi is

A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (i) Expression of the function y = (x, t) i.e., displacement of a particle position x and time t.

A sinusoidal wave having wavelength of 6 m propagates along positive x direction on a string. The displacement (y) of a particle at x = 2 m varies with time (t) as shown in the graph (a) Write the equation of the wave (b) Draw y versus x graph for the wave at t = 0

(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.