Embibe Experts Solutions for Chapter: Sound Waves, Exercise 1: Exercise - 1

In forced oscillation of a particle, the amplitude is maximum for a frequency ${\mathrm{\omega }}_1$ of the force while the energy is maximum for a frequency ${\mathrm{\omega }}_2$ of the force. What is the relation between ${\mathrm{\omega }}_1$ and ${\mathrm{\omega }}_2$?

A source of sonic oscillations with frequency $f_0=1000 \mathrm{Hz}$, moves at right angles to the wall with a velocity $u=0.17$ $\mathrm{m} {\mathrm{s}}^{-1}$. Two stationary receivers $R_1$ and $R_2$ are located on a straight line, coinciding with the trajectory of the source, in the following succession: $R_1-$source$-R_2-$wall. Which receiver registers the beatings and what is the beat frequency? The velocity of sound is equal to $v=340 \mathrm{m} {\mathrm{s}}^{-1}$.

Which of the following does not affect the apparent frequency in the Doppler effect?

An engine driver moving towards a wall with a velocity of $50 \mathrm{m} {\mathrm{s}}^{–1}$ emits a note of frequency $1.2 \mathrm{kHz}$. The frequency of note after reflection from the wall as heard by the engine driver when the speed of sound in air is $350 \mathrm{m} {\mathrm{s}}^{–1}$ is

Source and observer both start moving simultaneously from the origin, one along $X$-axis and the other along $Y$-axis with the speed of source equal to twice the speed of the observer. The graph between the apparent frequency $\left(n\text{'}\right)$ observed by observer and time $t$ would be ($n$ is the frequency of the source)

An observer moves on a circle as shown in the figure and a small sound source is at $S$. Let at ${\upsilon }_1$, ${\upsilon }_2$, ${\upsilon }_3$ be the frequencies heard when the observer is at $A$, $B$, and $C$, respectively.

Two factories are sounding their sirens at $400 \mathrm{Hz}$each. A man walks from one factory towards the other at a speed of $2 {\mathrm{ms}}^{-1}.$ the speed of sound is $320 {\mathrm{ms}}^{-1}.$ The number of beats heard per second by the man is.

Two identical travelling waves moving in the same direction are out of phase by $0.70\mathrm{\pi }\text{ rad}$. What is the amplitude of the resultant wave in terms of the common amplitude $y_{\mathit{n}}$ of the two combining waves?