In a standing wave experiment , a `1.2 - kg` horizontal rope is fixed in place at its two ends `( x = 0 and x = 2.0 m)` and made to oscillate up and down in the fundamental mode , at frequency of `5.0 Hz`. At `t = 0` , the point at `x = 1.0 m` has zero displacement and is moving upward in the positive direction of `y - axis` with a transverse velocity `3.14 m//s`.
Speed of the participating travelling wave on the rope is

In a standing wave experiment , a 1.2 - kg horizontal rope is fixed in place at its two ends ( x = 0 and x = 2.0 m) and made to oscillate up and down in the fundamental mode , at frequency of 5.0 Hz . At t = 0 , the point at x = 1.0 m has zero displacement and is moving upward in the positive direction of y - axis with a transverse velocity 3.14 m//s . Tension in the rope is

Length of 0.3 m wire vibrates in fundamental mode at frequency 480 Hz. The velocity of sound wave in air is

Length of 0.3 m wire vibrates in fundamental mode at frequency 480Hz. Then the velocity of sound wave in air is

A particle A of mass 10//7kg is moving in the positive direction of x-axis . At initial position x=0 , its velocity is 1ms^-1 , then its velocity at x=10m is (use the graph given)

A wave travelling in positive X-direction with A=0.2m has a velocity of 36 m//sec if lambda=60m , then correct exression for the wave is

A wave travelling in positive X-direction with A=0.2m has a velocity of 360 m//sec if lamda=60m , then correct exression for the wave is

A wave travelling in positive X-direction with A=0.2m has a velocity of 360m//sec . If lambda=60m , then correct expression for the wave is

A certain spring has a linear mass density of 0.25 kg m^(-1) and is stretched with a tension of 25 N. One end is given a sinusoidal motion with frequnecy 5 Hz and amplitude 0.01 m. At time t=0, the other end has zero displacement and is moving in the positive y-direction. (i) Find the wave speed, amplitude, angular frequnecy, period, wavelength and wave number. (ii) Write a wave function representing the wave. (iii) Find the position of the point at x=0.25m at time t=0.1s.

One end of a long string of linear mass dnesity 8.0xx10^(-3)kgm^(-1) is connected to an electrically driven tuning fork of frequency 256 Hz. The other end passes over a pulley and is tied to a pan containing a mass of 90 kg. The pulley end absorbs all the incoming energy so that reflected waves at this end have negligible amplitude. At t=0 the left end (fork end) of the string x=0 has zero transverse displacement (y=0) and is moving along positive y-direction. The amplitude of the wave is 5.0 cm. Write down the transverse displacement y as function of x and t that describest the wave on the string.