Beats

Two simple harmonic sound waves travelling in the same direction are given by $y_1(x,t) = A\sin(0.5\pi x - 100\pi t)$ and $y_2(x,t) = A\sin(0.46\pi x - 92\pi t)$

The number of times, a stationary listener can hear sound of maximum intensity in one second is

Two sources of sound are emitting progressive waves $y_1 = 4\sin 708\pi t$ and $y_2 = 3\sin 700\pi t$. The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and wanning are respectively

The beats are produced when there is a superposition of two sound waves which will have

Two waves $Y_1 = 0.25\sin 316t$ and $Y_2 = 0.25\sin 310t$ are propagating along the same direction. The number of beats produced per second are

A set of $8$ tuning forks is arranged in ascending order of frequencies. Each fork produces $4$ beats with the next one and frequency of last fork is octave of first. The frequency of $5$th fork is

A set of $14$ tuning forks is arranged in a series of increasing frequencies. Each fork produces '$x$' beats per second with the preceding fork and the last fork is an octave of the first fork. If the seventh fork has the frequency of $114$ Hz, the value of $x$ is

Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A is loaded with wax, the beat frequency is reduced to 4 beats in 2 s. If the original frequency of tuning fork B is 380 Hz then original frequency of tuning fork A is _________ Hz.

Two sounding waves send waves at certain temperature in air of wavelength 50 cm and 50.5 cm repectively. The frequency of sources differ by 6 Hz. The velocity of sound in air at same temperature is

There are two wires vibrating with same frequency of $500$ Hz. Tension in one wire is increased by 'x' % so that $5$ beats per second are heard. The value of 'x' in % is

A tuning fork gives $5$ beats per second with a $33$ cm length of sonometer wire. If the length of the wire is shortened by $1$ cm, the number of beats is still the same. The frequency of the fork is

A and B are two wires whose fundamental frequencies are 256 Hz and 382 Hz respectively. When third harmonic of A and the second harmonic of B are sounded together, the number of beats heard in two second will be

A tuning fork of frequency $n$ produces $x$ beats per second when sounded with a vibrating sonometer string. What must have been the frequency of the string, when a slight increase in tension produces lesser beats per second than before?

The lengths of the two pipes open at both ends are L and $(L + L_1)$. If they are sounded together, the beat frequency will be

($v$ = velocity of sound in air)

The closed and open organ pipe have same length and when they are vibrating simultaneously in first overtone produce $3$ beats. The length of open pipe is made $\left(\frac{1}{3}\right)^{rd}$ and closed pipe is made $3$ times the original, the number of beats produced will be {neglect end correction}

Two tuning forks of frequencies 256 Hz and 258 Hz are sounded together. The time interval between two consecutive maxima is

Two sound waves travelling in the same direction have displacement $y_1 = a\sin(0.2\pi x - 50\pi t)$ and $y_2 = a\sin(0.15\pi x - 46\pi t)$.

How many times, a listener can hear sound of maximum intensity in one second?

Two sources of sound are emitting progressive waves $y_1 = 4\sin 710\pi t$ and $y_2 = 3\sin 702\pi t$. The sources are placed close to each other. The number of beats heard per second and intensity ratio between waxing and waning are respectively

Two harmonic waves moving in the same direction superimpose to form a wave $x = a\cos(1.5t)\cos(50.5t)$ where t is in seconds. Find the period with which they beat. (close to nearest integer)

A tuning fork gives 5 beats per second with 40 cm length of sonometer wire. If the length of the wire is shortened by 1 cm, the number of beats is still the same. The frequency of the fork is

Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously with tensions ' $T_1$ ' and ' $T_2$ ' respectively. On changing the tension slightly in one of them, the beat frequency remains unchanged. This will happen when (Given $\rightarrow T_1 > T_2$)

Two tuning forks when sounded together produce 4 beats per second. One of the forks is in unison with 23 cm length of sonometer wire and other with 24 cm length of the same wire. The frequencies of the two tuning forks are

Two strings ' X ' and ' Y ' of a guitar produces a beat frequency of 6 Hz. When the tension of the string ' Y ' is increased, the beat frequency is found to be 4 Hz. If the frequency of string ' X ' is 300 Hz, then the original frequency of string ' Y ' is

When two tuning forks are sounded together, 6 beats per second are heard. One of the fork is in unison with 0.70 m length of sonometer wire and another fork is in unison with 0.69 m length of the same sonometer wire. The frequencies of the two tuning forks are

An open organ pipe and closed organ pipe of same length produce 2 beats per second, when they are set into vibrations together, in fundamental mode. The length of open pipe is made half and that of closed pipe is doubled.

The number of beats produced per second will be (neglect end correction)

The lengths of the two organ pipes open at both ends are ' L ' and $(L + L_1)$. If they are sounded together, the beat frequency will be ( $v =$ velocity of sound in air)

In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is:

The closed and open organ pipes have same length. When they are vibrating simultaneously in first overtone, they produce four beats. The length of open pipe is made half and that of the closed pipe is made two times the original. Now the number of beats produced if the two pipes are vibrating in their fundamental modes simultaneously is

The closed and open organ pipe have same length and when they are vibrating simultaneously in first overtone produce 3 beats. The length of open pipe is made $\left(\frac{1}{3}\right)^{\text{rd}}$ and that of closed pipe is made 3 times the original, the number of beats produced will be (Neglect end correction)

Two sound waves having frequencies 250 Hz and 256 Hz superimpose to produce beat wave. The resultant beat wave has intensity maximum at $t = 0$. After how much time an intensity will be minimum produced at the same point?

If the two waves of same amplitude, having frequencies 340 Hz and 335 Hz, are moving in same direction, then the time interval between two successive maxima formed (in second) is

Two sound waves having displacements $x_1 = 2\sin(1000\pi t)$ and $x_2 = 3\sin(1006\pi t)$, when interfere, produce

Two waves $Y_1 = 0.25\sin 316t$ and $Y_2 = 0.25\sin 310t$ are propagating along the same direction. The number of beats produced per second are

A set of 28 turning forks is arranged in an increasing order of frequencies. Each fork produces ' $x$ ' beats per second with the preceding fork and the last fork is an octave of the first. If the frequency of the $12$th fork is 152 Hz, the value of ' $x$ ' (no. of beats per second) is

The frequency of two tuning forks A and B are respectively $1.4\%$ more and $2.6\%$ less than that of the tuning fork C. When A and B are sounded together, 10 beats are produced in 1 second. The frequency of tuning fork C is

A wire under tension 225 N produces 6 beats per second when it is tuned with a fork. When the tension changes to 256 N, it is again tuned with the same tuning fork, the number of beats remain unchanged. The frequency of tuning fork will be

A tuning fork resonates with a sonometer wire of length $1\text{ m}$ stretched with a tension of $6\text{ N}$. When the tension in the wire is changed to $54\text{ N}$, the same tuning fork produces 12 beats per second with it. The frequency of the tuning fork is ________________ $\text{Hz}$.

An open organ pipe of length ' $l$ ' is sounded together with another open organ pipe of length $(l + l_1)$ in their fundamental modes. Speed of sound in air is ' $V$ '. The beat frequency heard will be ( $l_1 << l)$

A closed organ pipe $150\text{ cm}$ long gives 7 beats per second with an open organ pipe of length $350\text{ cm}$, both vibrating in fundamental mode. The velocity of sound is __________ $\text{m/s}$.

41 tuning forks are arranged in increasing order of frequency such that each produces 5 beats/second with next tuning fork. If frequency of last tuning fork is double that of frequency of first fork. Then frequency of first and last fork is

Two sounding sources send waves at certain temperature in air of wavelength $50\text{ cm}$ and $50.5\text{ cm}$ respectively. The frequency of sources differ by $6\text{ Hz}$. The velocity of sound in air at same temperature is

A sonometer wire $49\text{ cm}$ long is in unison with a tuning fork of frequency '$n$'. If the length of the wire is decreased by $1\text{ cm}$ and it is vibrated with the same tuning fork, 6 beats are heard per second. The value of '$n$' is

When two tuning forks are sounded together, 5 beats per second are heard. One of the forks is in unison with $0.97\text{ m}$ length of sonometer wire and the other is in unison with $0.96\text{ m}$ length of the same wire. The frequencies of the two tuning forks are

A tuning fork gives 3 beats with $50\text{ cm}$ length of sonometer wire. If the length of the wire is shortened by $1\text{ cm}$, the number of beats is still the same. The frequency of the fork is

A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last fork is _________ Hz.

The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12s, will be:

Two sound waves having wavelengths $5.0\text{ m}$ and $5.5\text{ m}$ propagate in a gas with velocity 300 $\text{m/s}$. The number of beats produced per second is

Two waves $Y_1 = 0.25\sin 316t$ and $Y_2 = 0.25\sin 310t$ are propagation same direction. The number of beats produced per second are

Beats are produced by waves $y_1 = a\sin 2000\pi t$ and $y_2 = a\sin 2008\pi t$. The number of beats heard per second is

A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats/s. What is the frequency of fork A?

The frequencies of three tuning forks $A, B$ and $C$ are related as $n_A > n_B > n_C$. When the forks $A$ and $B$ are sounded together, the number of beats produced per second is '$n_1$'. When forks $A$ and $C$ are sounded together the number of beats produced per second is '$n_2$'. How may beats are produced per second when forks $B$ and $C$ are sounded together?

A sonometer wire of length 25 cm vibrates in unison with a tuning fork. When its length is decreased by 1 cm, 6 beats are heard per second. What is the frequency of the tuning fork?

A closed organ pipe and an open organ pipe of same length produce 2 beats per second when they are set into vibrations together in fundamental mode. The length of open pipe is now halved and that of closed pipe is doubled. The number of beats produced per second will be

Two waves $Y_1 = 0.25\sin 316t$ and $Y_2 = 0.25\sin 310t$ are propagating along the same direction. The number of beats produced per second are

A tuning fork $A$ produces 5 beats per second with a tuning fork of frequency 480 Hz. When a little wax is stuck to a prong of fork $A$, the number of beats heard per second becomes 2. What is the frequency of tuning fork $A$ before the wax is stuck to it?

In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases. If the frequency of A is 530 Hz, the original frequency of B will be:

For formation of beats, two sound notes must have

The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz, is:

Two sitar strings, A and B, playing the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz. The tension of the string B s slightly increased and the beat frequency is found to decrease by 3Hz. If the frequency of A is 425 Hz, the original frequency of B is:

5 beats / second are heard when a tuning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m. The frequency of the fork will be:

A tuning fork vibrates with frequency $256\text{ Hz}$ 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 $340\text{ ms}^{-1}$)

Three sound waves of equal amplitudes have frequencies (n $-$ 1), n, (n + 1). They superimpose to give beats. The number of beats produced per second will be

When two sound waves travel in the same direction in a medium, the displacements of a particle located at 'x' at time 't' is given by:

$y_1 = 0.05\cos(0.50\pi x - 100\pi t)$

$y_2 = 0.05\cos(0.46\pi x - 92\pi t)$

where $y_1,\ y_2$ and x are in meters and t in seconds. The speed of sound in the medium is:

A source of unknown frequency gives 4 beats/s when sounded with a source of known frequency 250 Hz. The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is

Two sources of sound placed close to each other, are emitting progressive waves given by y1 = 4sin600$\pi$t and y2 = 5sin608$\pi$t

An observer located near these two sources of sound will hear

Two identical piano wires, kept under the same tension T have a fundamental frequency of 600 Hz. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be

A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

Three sound waves of equal amplitudes have frequencies $(v-1),\ v,\ (v+1).$ They superpose to give beats. The number of beats produced per second will be:

Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g/m. When both the strings vibrate simultaneously the number of beats is

Two sound waves with wavelengths 5.0 m and 5.5. m respectively, each propagate in a gas with velocity 330 m/s. We expect the following number of beats per second.

Two vibrating tuning forks produce progressive waves given by $y_1 = 4\sin 500\pi t$ and $y_2 = 2\sin 506\pi t$. Number of beats produced per minute is

When two tuning forks (fork $1$ and fork $2$) are sounded simultaneously, $4$ beats per second are heated. Now, some tape is attached on the prong of the fork $2$ When the tuning forks are sounded again, $6$ beats per second are heard. If the frequency of fork $1$ is $200\text{ Hz}$, then what was the original frequency of fork $2$?

A tuning fork of known frequency $256\text{ Hz}$ makes $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

A tuning fork arrangement (pair) produces $4$ beats/sec with one fork of frequency $288\text{ cps}$ A little wax is placed on the unknown fork and it then produces $2$ beats/sec. The frequency of the unknown fork is

When temperature increases, the frequency of a tuning fork

Two waves of wavelength $50\text{ cm}$ and $51\text{ cm}$ produce $12$ beats/s. The speed of sound is

A source of sound gives 5 beats per second, when sounded with another source of frequency $100\text{ second}^{-1}$. The second harmonic of the source, together with a source of frequency $205\text{ sec}^{-1}$ gives 5 beats per second. What is the frequency of the source?

A source of frequency $\upsilon$ gives 5 beats/second when sounded with a source of frequency $200\text{ Hz}$. The second harmonic of frequency $2\upsilon$ of source gives 10 beats/second when sounded with a source of frequency $420\text{ Hz}$. The value of $\upsilon$ is

For production of beats the two sources must have