Embibe Experts Solutions for Exercise 4: Assignment

A train blowing its whistle moves with constant speed on a straight track towards observer and then crosses him. If the ratio of difference between the actual and apparent frequencies be $3: 2$ in the two cases, then the speed of train is [$v$ is speed of sound]

A man is standing on a railway platform listening to the whistle of an engine that passes the man at constant speed without stopping. If the engine passes the man at time instant $t_0,$ how does the frequency $f$ of the whistle as heard by the man changes with time?

A whistle$\text{'}S\text{'}$ of frequency $f$ revolves in a circle of radius $R$ at a constant speed $v.$ What is the ratio of maximum and minimum frequency detected by a detector $D$ at rest at a distance $2 R$ from the center of circle as shown in figure? (take $\text{'}c\text{'}$ as speed of sound)

A wave travelling in the $+ve x$ -direction having displacement along $y$ -direction as $1 \mathrm{m},$ wavelength $2\pi \mathrm{m}$ and frequency of $\frac{1}{\mathrm{\pi }}\mathrm{Hz}$ is represented by 

The driver of a car travelling with speed $30 \mathrm{m} {\sec }^{-1}$ towards a hill sounds a horn of frequency $600 \mathrm{Hz}$. If the velocity of sound in air is $330 \mathrm{m} {\mathrm{s}}^{-1}$, the frequency of reflected sound as heard by driver is

Two points are located at a distance of $10 \mathrm{m}$ and $15 \mathrm{m}$ from the source of oscillation. The period of oscillation is $0.05\sec$ and the velocity of the wave is $300 \mathrm{m} {\sec }^{-1}$. What is the phase difference between the oscillations of two points?

Two sound waves having a phase difference of $60°$ have path difference of

A standing wave having $3$ nodes and $2$ antinodes is formed between two atoms having a distance $1.21$ $\stackrel{0}{\mathrm{A}}$ between them. The wavelength of the standing wave is,