For a certain transverse standing wave on a long string , an antinode is formed at ` x = 0` and next to it , a node is formed at `x = 0.10 m` , the displacement `y(t)`of the string particle at `x = 0` is shown in Fig.7.97.

(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.

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 transverse velocity of the particle at x=0 at t=5.0 s is ?

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:

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 ?

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 ?

A transverse harmonic wave of amplitude 0.01 m is genrated at one end (x=0) of a long horizontal string by a tuning fork of frequency 500 Hz. At a given instant of time the displacement of the particle at x=0.1 m is -0.005 m and that of the particle at x=0.2 m is +0.005 m. calculate the wavelength and the wave velocity. obtain the equetion of the wave assuming that the wave is traveling along the + x-direction and that the end x=0 is at he equilibrium position at t=0.

A transverse harmonic wave of amplitude 0.01 m is genrated at one end (x=0) of a long horizontal string by a tuning fork of frequency 500 Hz. At a given instant of time the displacement of the particle at x=0.1 m is -0.005 m and that of the particle at x=0.2 m is +0.005 m. calculate the wavelength and the wave velocity. obtain the equetion of the wave assuming that the wave is traveling along the + x-direction and that the end x=0 is at he equilibrium position at t=0.

A standing wave of time period T is set up in a string clamped between two rigid supports, At t =0 antinode is at its maximum displacement 2A .

A standing wave of time period T is set up in a string clamped between two rigid supports, At t =0 antinode is at its maximum displacement 2A .