B M Sharma Solutions for Chapter: Travelling Waves, Exercise 3: Exercises

A transverse wave is described by the equation $Y=Y_0\sin 2\mathrm{\pi }\left(ft-x/\lambda \right)$. The maximum particle velocity is equal to four times the wave velocity if 

The equation of a progressive wave is, $y=0.02\sin 2\pi \left[\frac{t}{0.01}-\frac{x}{0.3}\right]$ where, $x$ and $y$ are in $\mathrm{meters}$ and $t$ is in $\mathrm{second}$. The velocity of propagation of the wave is,

Wave pulse on a string shown in the figure is moving to the right without changing shape. Consider two particles at positions $x_1=1.5 \mathrm{m}$ and $x_2=2.5 \mathrm{m}$. Their transverse velocities at the moment shown in the figure are along with directions

A certain transverse sinusoidal wave of wavelength $20 \mathrm{cm}$ is moving in the positive $X$ direction. The transverse velocity of the particle at $x=0$ as a function of time is shown. The amplitude of the motion is

A sinusoidal wave travelling in the positive direction on stretched string has amplitude $20 \mathrm{cm}$, wavelength $1.0 \mathrm{m}$ and wave velocity $5.0 \mathrm{m}/\mathrm{s}$. At $x=0$ and $t=0$ it is given that $y=0$ and $\partial y/\partial t<0$. Find the wave function $y(x, t)$.

For the wave shown in figure, write the equation of this wave if its position is shown at $t=0 .$ Speed of wave is $v=300 \mathrm{m}/\mathrm{s}$

A circular loop of rope of length $L$ rotates with uniform angular velocity $\mathrm{\omega }$ about an axis through its centre on a horizontal smooth platform. The velocity of pulse (with respect to rope) produced due to slight radial displacement is given by

A circular loop of rope of length $L$ rotates with uniform angular velocity $\mathrm{\omega }$ about an axis through its centre on a horizontal smooth platform. The velocity of pulse (with respect to rope) produced due to slight radial displacement is given by