Beats

A band playing music at a frequency $\nu$ is moving towards a wall at a speed $v_b$. A motorist is following the band with a speed$v_m$ If $v$ is the speed of sound the expression for the beat frequency heard by the motorist

Two waves of wavelength $1.00 \mathrm{m}$and $1.01 \mathrm{m}$ produces $10$ beats in $3 \mathrm{s}$. What is the velocity of the wave?

A tuning fork $P$ has a frequency $8\%$ more than that of a standard fork. A second fork $Q$ has a frequency $5\%$ less than that of the standard form. When $P$ and $Q$ are sounded together the number of beat produced per second is $8$ . The frequency of fork $Q$ is

$y_1=4\sin \left(400\pi t\right)$ and $y_2=3\sin \left(404\pi t\right)$ are the equation of displacements of two progressive waves interfering at $x=0$. The frequency of variation of amplitude at $x=0$ for the interfered wave will be

There are four tuning forks, and one of them has frequency $553 \mathrm{Hz}$. By using any two forks at a time, the beat frequencies heard are $1,2,3,5,7,8$. The possible frequencies of other three forks are

After loading the prongs of $A$ with some wax and then sounding it with $B, 4$ beats are produced per second. What is the frequency of the tuning fork $A$? Given: On sounding tuning fork $A$ with another tuning fork $B$ of frequency $384 \mathrm{Hz}, 6$ beats are produced per second.

What is the frequency of the tuning fork in $\mathrm{Hz}$? If an accurate and reliable audio oscillator is used to standardise a tuning fork. When the oscillator reading is $514 \mathrm{Hz}$, two beats are heard per second. When the oscillator reading is $510 \mathrm{Hz}$, the beat frequency is $6 \mathrm{Hz}$.

Twenty-five tuning forks are arranged in series in the order of decreasing frequency. Any two successive forks produce $3$ beats per second. If the frequency of the first tuning fork is the octave of the last fork, frequency of the ${21}^{\mathrm{st} }$ fork is,

What causes the formation of beats in sound?

Two sources of sound placed close to each other, are emitting progressive waves given by

${\mathrm{y}}_1 = 4\sin \left(600\mathrm{\pi t}\right)$ and ${\mathrm{y}}_2= 5\sin \left(608\mathrm{\pi t}\right)$.
An observer located near these two sources of sound will hear,

A tuning fork of frequency $512 \mathrm{Hz}$ is vibrated with a sonometer wire, and $6$ beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

A tuning fork vibrates with frequency $256 \mathrm{Hz}$ and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (speed of sound in air is $340 \mathrm{m} {\mathrm{s}}^{-1}$)

If two tuning forks $A \text{\& }B$ give $4 \mathrm{beats} {\sec }^{-1}$ with each other, on loading $A$ with wax, $2 \mathrm{beats} {\sec }^{-1}$ are given. If frequency of $A$ is $256 \mathrm{Hz}$, then frequency of $B$ is 

There is a source of sound (a tuning fork) moving towards a reflecting wall with a speed of $30 \mathrm{m} {\mathrm{s}}^{-1}$. The velocity of the sound in air is $330 \mathrm{m} {\mathrm{s}}^{-1}$ and the frequency of the tuning fork is $600 \mathrm{Hz}$. The observer is between the source and the wall and is moving with some velocity $V_1$ towards the wall. The beat frequency heard by the observer is $4 \mathrm{Hz}$. If the tuning fork is waxed, the frequency beats heard by the observer becomes $3 \mathrm{Hz}$. If the new frequency of tuning fork is $k$ then $\raisebox{1ex}{$k$}\!\left/ \!\raisebox{-1ex}{$50$}\right.$ is

Two tuning forks, $A$ and $B$ produce notes of frequencies $258 \mathrm{Hz}$ and $262 \mathrm{Hz}$. An unknown note sounded with $A$ produces certain beats. When the same note is sounded with $B$, the beat frequency gets doubled, The unknown frequency is

A closed organ pipe and an open organ pipe of same length produce $2 \mathrm{beats} {\mathrm{s}}^{-1}$ while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is

Two tuning forks have frequencies $450 \mathrm{Hz}$ and $454 \mathrm{Hz}$ respectively. On sounding these forks together, the time interval between two successive maximum intensities will be _____.

Two waves each of loudness $L$ superimpose to produce beats. The maximum loudness of beats will be

Two whistles $A$ and $B$ have frequencies $660 \mathrm{Hz}$ and $590 \mathrm{Hz},$ respectively. An observer is standing in the middle of the line joining the two sources. Source $B$ and observer are moving towards the right with velocity $30 \mathrm{m} {\mathrm{s}}^{-1}$ and $A$ is standing to the left side. If the velocity of sound in air is $300 \mathrm{m} {\mathrm{s}}^{-1}$. The number of beats per second listened by the observer are,

A closed organ pipe and an open organ pipe of same length produce $2 \mathrm{beats} {\mathrm{s}}^{-1}$ while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is