B M Sharma Solutions for Chapter: Travelling Waves, Exercise 2: DPP

A transverse periodic wave on a string with a linear mass density of $0.200 \mathrm{kg} {\mathrm{m}}^{-1}$ is described by the following equation, $y=0.05\sin (420t-21.0x)$ where $x$ and $y$ are in metres and $t$ is in seconds. The tension in the string is equal to

The displacement from the position of equilibrium of a point $4 \mathrm{cm}$ from a source of sinusoidal oscillations is half the amplitude at the moment $t=\frac{T}{6}$ $\left(T \text{is the time period}\right)$. Assume that the source was at a mean position at $t=0$. The wavelength of the travelling wave is

A wave moving with a constant speed on a uniform string passes the point $x=0$ with amplitude $A_0$, angular frequency ${\omega }_0$ and average rate of energy transfer $P_0$. As the wave travels down the string, it gradually loses energy and at the point $x=l$, the average rate of energy transfer becomes $\frac{P_0}{2}$. At the point $x=l$, angular frequency and amplitude are, respectively

A sinusoidal wave moving along a string is shown twice in Fig., as crest $A$ travels in the positive direction of an $x$-axis by distance $d=6.0 \mathrm{cm}$ in $4.0 \mathrm{ms}$. The tick marks along the axis are separated by $10 \mathrm{cm};$ height $H=6.00 \mathrm{mm}$. The wave equation is

The displacement-time graphs for two sound waves $A$ and $B$ are shown in the figure, then the ratio of their intensities $\frac{I_A}{I_B}$ is equal to

As a wave propagates

The $y-x$ curve at an instant for a wave travelling along $x$ axis on a string is shown. Slope at the point $A$ on the curve, as shown, is $53°$. Which of the following is/are correct?

A sinusoidal wave is travelling on a string with speed $40 \mathrm{cm}/\mathrm{s}$. The displacement of the particles of the string at $x=10 \mathrm{cm}$ varies with time according to $\left.y=(5.0 \mathrm{cm})\sin \left[1.0 -(4.0 {\mathrm{s}}^{-1}\right)t\right]$. The linear density of the string is $4.0 \mathrm{g}/\mathrm{cm}$