For the wave described in the above question, plot the displacement (y) versus time (t) graphs for x=0.2 and 4 cm. What are the shapes of these graph? In which aspects does the oscillatory motion in a travelling wave differ from one point to another: amplitude,frequency or phase?

Given below are some functions of xand t to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent (i) a travelling wave, (ii) a stationary wave or (iii) none at all: y = 3 sin (5x-0.5t)+4cos(5x-0.5t)

For the travelling harmonic wave y(x, t) = 2.0 cos 2pi(10t-0.0080 x + 0.35) where xand y are in cm and tin s. Calculate the phase difference between oscillatory motion of two points separated by a distance of 4m.

For the travelling harmonic wave y(x, t) = 2.0 cos 2pi(10t-0.0080 x + 0.35) where xand y are in cm and tin s. Calculate the phase difference between oscillatory motion of two points separated by a distance of (3gamma)//4 .

For the travelling harmonic wave y(x, t) = 2.0 cos 2pi(10t-0.0080 x + 0.35) where xand y are in cm and tin s. Calculate the phase difference between oscillatory motion of two points separated by a distance of 0.5 m.

For the travelling harmonic wave y(x, t) = 2.0 cos 2pi(10t-0.0080 x + 0.35) where xand y are in cm and tin s. Calculate the phase difference between oscillatory motion of two points separated by a distance of gamma//2 .

Given below are some functions of x and t to represent the displacement of an elastic wave. y=4 cos (5x-t/2)+3 cos (5x-t/2). State which of these represent (a) a travelling wave along (−x) direction (b) a stationary wave (c) beats (c) a travelling wave along (+x) direction. Give reasons for the answers.

A travelling harmonic wave on a string is described by , y=7.5 sin (0.0050x+12t+pi//4) What are the displacement and velocity of oscillation of a point at x=1 cm and t=1 s ? Is this velocity equal to the velocity of wave propagation?

A travelling harmonic wave on a string is described by y(x, t)= 7.5 sin (0.0050x +12t+ (pi//4)) Locate the points of the string which have the same transverse displacements and velocity as the x = 1 cm point at t = 2 s, 5 s and 11s.

A transverse harmonic wave on a string is described by y(x. t) = 3.0 sin (36 t + 0.018 x + (pi//4)) where x and y are in cm and tin s. The positive direction of x is from left to right. What are its amplitude and frequency ?

The motion of a particle executing simple harmonic motion is described by the displacement function, x(t) = A cos (omegat + phi) . If the initial (t = 0) position of the particle is 1 cm and its initial velocity is omega cm//s , what are its amplitude and initial phase angle ? The angular frequency of the particle is pi s^-1 s If instead of the cosine function, we choose the sine function to describe the SHM : x= B sin (omegat+alpha) , what are the amplitude and initial phase of the particle with the above initial conditions.