Organ Pipes & Resonance Tube

In a pipe closed at one end, air column is vibrating in the fourth overtone so the vibrating air column has '$x$' nodes and '$y$' antinodes. The values of $x$ and $y$ are respectively

An air column in a pipe which is closed at one end will be in resonance with a vibrating tuning fork of frequency 415 Hz for various vibrating air columns. Which one of the following lengths is not in resonance? (velocity of sound in air = 332 m/s) (Neglect end correction)

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is $5/x$. The value of $x$ is ______

A pipe open at both ends has a frequency $f$ in air. The pipe is dipped vertically in water, so that its $(1/3)$ part of its length is in water. The fundamental frequency of the air column is now $xf$, the value of $x$ is

In an experiment with a closed organ pipe, it is filled with water by $\left(\frac{1}{5}\right)^{th}$ of its volume. The frequency of the fundamental note will change by

In an organ pipe closed at one end produces a fundamental note of frequency '$\nu$'. The pipe is cut into two pipes of equal length. The fundamental frequencies produced in the two pipes are

A pipe open at both ends has a fundamental frequency 'f' in air. The pipe is dipped in water, so that ${\frac{2}{3}}^{rd}$ length of pipe is in water, Now the fundamental frequency of the air column is

An organ pipe closed at one end has fundamental frequency of $1500$ Hz. The maximum number of overtones generated by this pipe a normal person can hear is (neglect end connection)

In fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $t$ second. The frequency of vibration of air column is

($\lambda$ = wavelength of the wave)

A pipe open at both ends has length $1$ m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air $= 340$ m/s)

In an open organ pipe $\nu_3$ and $\nu_6$ are $3$rd and $6$th harmonic frequencies, respectively. If $\nu_6 - \nu_3 = 2200\text{ Hz}$ then length of the pipe is ______ mm.

(Take velocity of sound in air is $330\text{ m/s}$.)

An organ pipe $P_1$ closed at one end and vibrating in its first overtone and other pipe $P_2$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of length of $P_1$ and $P_2$ will be

The third overtone of a closed organ pipe is in unison with $3^{rd}$ overtone of an open pipe. The ratio of length of closed to open pipe is

A pipe closed at one end vibrating in the sixth overtone is in unison with the open pipe vibrating in its sixth overtone. The ratio $l_c : l_o$ is $\{l_c =$ vibrating length of pipe closed at one end, $l_o =$ vibrating length of pipe open at both ends$\}$

The third overtone of a closed pipe of length '$L_c$' has the same frequency as the third overtone of the open pipe of length '$L_0$'. Both the pipes have same diameters. The ratio $L_c : L_0$ is equal to

Fifth overtone of an open pipe of length $L_0$ is in unison with the fifth overtone of the pipe closed at one end of length $L_c$.

The ratio $L_0$ to $L_c$ is

When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by 150Hz than second overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

When open pipe is closed from one end then second overtone of closed pipe is higher in frequency by 100 Hz than first overtone of open pipe. The fundamental frequency of open end pipe will be (Neglect end correction)

For sound waves, if the number of nodes for the $5$th harmonic of an open-ended pipe is $n$ and that for the $9$th harmonic of the same pipe with one of its ends closed is $m$, the ratio $\frac{n}{m}$ is

The fundamental frequency of a closed pipe is $400$ Hz. If ${\frac{1}{3}}^{rd}$ pipe is filled with water then the frequency of $3^{rd}$ harmonic of the pipe will be (Neglect end correction)

Two closed organ pipes A and B have the same length and A is wider than B. They resonate in the fundamental mode at frequencies $n_A$ and $n_B$ respectively, then

A tuning fork of frequency '$n$' is held near the open end of a tube which is dipped in water and length of the tube is adjusted until resonance occurs. If the two shortest lengths that produce resonance are $l_1$ and $l_2$, the speed of sound in air is (neglect end correction)

In a resonance tube open at one end, the end correction is $1.1$ cm. If the shortest length of resonating air column with a tuning fork is $18$ cm, the next resonating length will be

$n_1$ is the fundamental frequency of the pipe closed at one end and $n_2$ is the fundamental frequency of the pipe open at both ends. If both are joined end to end, the fundamental frequency of closed pipe so formed is

A Pipe open at one end has length $0.8$ m. At the open end of the tube a string $0.5$ m long is vibrating in its first overtone and resonates with fundamental frequency of pipe. If tension in the string is $50$ N, the mass of string is (Neglect end correction) (Speed of sound $= 320$ m/s)

In a pipe closed at one end, air column is vibrating in its second overtone. The column has

In an open end organ pipe of length ' $L$ ', if the velocity of sound is ' V ', then the fundamental frequency will be (Neglect end correction)

The fundamental frequency of an air column in a pipe closed at one end is 150 Hz. If the same pipe is open at both the end, the frequencies produced in Hz are

The fundamental frequencies of vibrations of air column in pipe open at both ends and in pipe closed at one end are ' $n_1$ ' and ' $n_2$ ' respectively, then

An organ pipe has fundamental frequency 80 Hz. If its one end is closed, the frequencies produced will be (in Hz) (Neglect end correction)

A pipe open at both ends produces a fundamental frequency $n_1$. When the pipe is kept with ${\frac{3}{4}}^{\text{th}}$ of its length in water, it produces a note of fundamental frequency $n_2$. The ratio of $\frac{n_1}{n_2}$ is

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

In an experiment with a closed organ pipe, it is filled with water by $\left(\frac{1}{5}\right)$ th of its volume. The frequency of the fundamental note will change by

An organ pipe closed at one end has fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe which a normal person can hear is (Normal man can hear the frequency up to 19.5 kHz, Neglect end correction)

In fundamental mode, the time required for the sound wave to reach up to closed end of a pipe filled with air is ' $t$ ' second. The frequency of vibration of air column is (Neglect end correction)

In an organ pipe closed at one end; the sum of the frequencies of first three overtones is 3930 Hz. The frequency of the fundamental mode of organ pipe is

An air column is of length 17 cm. The ratio of frequencies of $5$th overtone if the air column is closed at one end to that open at both ends is (velocity of sound in air $= 340\text{ ms}^{-1}$)

An open organ pipe is closed such that the third overtone of the closed pipe is found to be higher in frequency by 200 Hz than the second overtone of the original pipe. The fundamental frequency of the open pipe is (Neglect end correction)

The length of closed and open pipe is same. The ratio of frequency of $n$th overtone for closed pipe to that of open pipe is (Neglect end correction)

The frequency of fourth overtone of a closed pipe is in unison with the fifth overtone of an open pipe. The ratio of length of closed pipe to that of open pipe is

The fundamental frequency of a closed pipe of length $L$ is equal to the second overtone of a pipe open at both the ends of length (XL). The value of X is (Neglect end correction)

The fundamental frequency of a closed pipe is 400 Hz. If $\left(\frac{1}{3}\right)$rd length of the pipe is filled with water, the frequency of the $2$nd harmonic of the pipe will be (Neglect end correction)

The frequency of a stretched uniform wire of length $L$ under tension is in resonance with the fundamental frequency of a closed pipe of same length. If the tension in the wire is increased by 8 N, it is in resonance with the first overtone of the same closed pipe. The initial tension in the wire is

Two pipes of lengths $L_1$ and $L_2$, open at both ends are joined in series. If ' $f_1$ ' and ' $f_2$ ' are the fundamental frequencies of two pipes, then the fundamental frequency of series combination will be (neglect end correction)

A pipe open at both ends of length 1.5 m is dipped in water at one end such that $2$nd overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz. The length of the pipe immersed in water is (Speed of sound in air $= 330\text{ m/s}$) (Neglect end correction)

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities $\rho_1$ and $\rho_2$, respectively. The frequency of $9$th harmonic of closed tube is identical with $4$th harmonic of open tube. If the length of the closed tube is 10 cm and the density ratio of the gases is $\rho_1 : \rho_2 = 1 : 16$, then the length of the open tube is:

An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column has

A pipe 60 cm long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a 2.2 KHz source? (Speed of sound in air $= 330\text{ m/s})($ Neglect end correction)

The pipe open at both ends and pipe closed at one end have same length and both are vibrating in fundamental mode. Air column vibrating in open pipe has resonance frequency $n_1$ and air column vibrating in closed pipe has resonance frequency $n_2$, then

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is $60\text{ cm}$, the length of the closed pipe will be:

A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is $\left(\frac{a-1}{a}\right)$ then the value of $a$ is _________.

The fundamental frequency of an air column in a pipe open at both ends is ' $f_1$ '. Now $80\%$ of its length is immersed in water, the fundamental frequency of the air column becomes $f_2$. The ratio of $f_1 : f_2$ is

If ' $l$ ' is the length of pipe, ' $r$ ' is the internal radius of the pipe and ' $v$ ' is the velocity of sound in air then fundamental frequency of open pipe is

Two open organ pipes of lengths $60\text{ cm}$ and $90\text{ cm}$ resonate at $6$th and $5$th harmonics respectively. The difference of frequencies for the given modes is _________ $\text{Hz}$. (Velocity of sound in air $= 333\text{ m/s}$)

The frequency of the third overtone of a pipe of length ' $L_c$ ', closed at one end is same as the frequency of the sixth overtone of a pipe of length ' $L_0$ ', open at both ends. Then the ratio $L_c : L_0$ is

The end correction for the vibrations of air column in a tube of circular cross-section will be more if the tube is

A resonance tube closed at one end is of height 1.5 m. A tuning fork of frequency 340 Hz is vibrating above the tube. Water is poured in the tube gradually. The minimum height of water column for which resonance is obtained is (Neglect end correction, speed of sound in air $= 340\text{ m/s}$)

The end correction for the vibrations of air column in a tube of circular cross-section will be more if the tube is

A tuning fork of frequency 340 Hz is vibrated just above a tube of 120 cm height. Water is slowly poured in the tube. What is the minimum height of water necessary for resonance?

The end correction of resonance tube is 1 cm. If the shortest length resonating with a tuning fork is 15 cm, the next resonating length will be

In a closed organ pipe, the frequency of fundamental note is $30\text{ Hz}$. A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to $110\text{ Hz}$. If the organ pipe has a cross-sectional area of $2\text{ cm}^{2}$, the amount of water poured in the organ tube is __________ g. (Take speed of sound in air is $330\text{ m/s}$)

If the length of an open organ pipe is $33.3\text{ cm}$, then the frequency of fifth overtone is [Neglect end correction, velocity of sound $= 333\text{ m/s}$ ]

An organ pipe $40\text{ cm}$ long is open at both ends. The speed of sound in air is $360\text{ ms}^{-1}$. The frequency of the second harmonic is ___________ $\text{Hz}$.

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is

If '$l$' is the length of the open pipe, '$r$' is the internal radius of the pipe and '$V$ ' is the velocity of sound in air then fundamental frequency of open pipe is

If the end correction of an open pipe is $0.8\text{ cm}$, then the inner radius of that pipe is

For a certain organ pipe, the first three resonance frequencies are in the ratio of $1 : 3 : 5$ respectively. If the frequency of fifth harmonic is $405\text{ Hz}$ and the speed of sound in air is $324\text{ ms}^{-1}$ the length of the organ pipe is _________ $\text{m}$.

A closed pipe and an open pipe have their first overtone equal in frequency. Then, the lengths of these pipe are in the ratio

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe of length '$L$'. The length of the open pipe will be

The fundamental frequency of air column in pipe 'A' closed at one end is in unison with second overtone of an air column in pipe 'B' open at both ends. The ratio of length of air column in pipe '$A$' to that of air column in pipe '$B$' is

The $4$th overtone of a closed organ pipe is same as that of $3$rd overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:

In resonance tube, first and second resonance are obtained at depths $22.7\text{ cm}$ and $70.2\text{ cm}$ respectively. The third resonance will be obtained at a depth

End correction at open end for air column in a pipe of length '$l$' is '$e$'. For its second overtone of an open pipe, the wavelength of the wave is

An open organ pipe having fundamental frequency (n) is in unison with a vibrating string. If the tube is dipped in water so that $75\%$ of the length of the tube is inside the water then the ratio of fundamental frequency of the air column of dipped tube with that of string will be (Neglect end corrections)

A closed organ pipe of length '$L_1$' and an open organ pipe contain diatomic gases of densities '$\rho_1$ ' and '$\rho_2$' respectively. The compressibilities of the gases are same in both pipes, which are vibrating in their first overtone with same frequency. The length of the open organ pipe is (Neglect end correction)

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is _____________ cm.

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20.0 cm for a tuning fork of frequency 400 Hz is used. The velocity of the sound at room temperature is 336 ms${}^{-1}$. The third resonance is observed when the air column has a length of _____________ cm.

A tuning fork of frequency 340 Hz resonates in the fundamental mode with an air column of length 125 cm in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is ___________ cm.

(Velocity of sound in air is 340 ms${}^{-1}$)

A hollow pipe of length $0.8\text{ m}$ is closed at one end. At its open end, a $0.5\text{ m}$ long uniform string is vibrating in its second harmonic and it resonates with the fundamental frequency of pipe. If the tension in the string is $50\text{ N}$ and speed of sound in air is $320\text{ m/s}$, the mass of the string is

An air column in a pipe, which is closed at one end will be in resonance with a vibrating tuning fork of frequency 264 Hz for various lengths. Which one of the following lengths is not possible? (V = 330 m/s)

A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pipe that will resonate with the tuning fork will be __________ cm. (Take speed of sound in air as 340 ms${}^{-1}$)

When an air column in a pipe open at both ends vibrates such that four antinodes and three nodes are formed, then the corresponding mode of vibration is

A cylindrical tube open at both ends has fundamental frequency 'n' in air. The tube is dipped vertically in water so that one-fourth of it is in water. The fundamental frequency of the air column becomes

In fundamental mode, the time required for the sound wave to reach upto the closed end of pipe filled with air is $t$ second. The frequency of vibration of air column is

Two consecutive harmonics of an air column in a pipe closed at one end are of frequencies 150 Hz and 250 Hz. The fundamental frequency of an air column is

The fundamental frequency of an air column in pipe 'A' closed at one end coincides with second overtone of pipe 'B' open at both ends. The ratio of length of pipe 'A' to that of pipe 'B' is

A tuning fork of frequency '$n$' is held near the open end of tube which is closed at the other end and the lengths are adjusted until resonance occurs. The first resonance occurs at length $L_1$ and immediate next resonance occurs at length $L_2$. The speed of sound in air is

A glass tube of $1\text{ m}$ length is filled with water. The water can be drained out slowly from the bottom of the tube. If vibrating tuning fork of frequency $500\text{ Hz}$ is brought at the upper end of the tube then total number of resonances obtained are [Velocity of sound in air is $320\text{ ms}^{-1}$ ]

A student is performing the experiment of resonance column. The diameter of the column tube is 6 cm. The frequency of the tuning fork is 504 Hz. Speed of the sound at the given temperature is 336 m/s. The zero of the metre scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:

A closed organ pipe of length L and an open organ pipe contain gases of densities $\rho$1 and $\rho$2 respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open pipe is $\frac{x}{3} L \sqrt{\frac{\rho_1}{\rho_2}}$ where x is ___________. (Round off to the Nearest Integer)

A pipe open at both ends of length 1.5 m is dipped in water such that the second overtone of vibrating air column is resonating with a tuning fork of frequency 330 Hz. If speed of sound in air is 330 m/s then the length of the pipe immersed in water is (Neglect and correction)

A pipe closed at one end has length $0.8\text{ m}$. At its open end $0.5\text{ m}$ long uniform string is vibrating in its $2$nd harmonic and it resonates with the fundamental frequency of the pipe. If the tension in the wire is $50\text{ N}$ and the speed of sound is $320\text{ m/s}$, the mass of the string is

A closed organ pipe of length '$L_c$' and an open organ pipe of length '$L_o$' contain different gases of densities '$\rho_1$' and '$\rho_2$' respectively. The compressibility of the gases is the same in both the pipes. The gases are vibrating in their first overtone with the same frequency. What is the length of open organ pipe?

In a resonance tube experiment when the tube is filled with water up to a height of 17.0 cm from bottom, it resonates with a given tuning fork. When the water level is raised the next resonance with the same tuning fork occurs at a height of 24.5 cm. If the velocity of sound in air is 330 m/s, the tuning fork frequency is:

A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the speed of sound in air at STP is 300 m/s, the frequency difference between the fundamental and second harmonic of this pipe is ________ Hz.

An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pipe is

When open pipe is closed from one end third overtone of closed pipe is higher in frequency by $150\text{ Hz}$, then second overtone of open pipe. The fundamental frequency of open end pipe will be

The fundamental frequency of a closed pipe is 400 Hz. If $\frac{1}{3}$ rd pipe is filled with water, then the frequency of 2nd harmonic of the pipe will be (neglect and correction)

A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard by a person with this organ pipe will be (Assume that the highest frequency a person can hear is 20,000 Hz)

In a fundamental mode,the time required for the sound wave to reach upto the closed end of a pipe filled with air is ' $t$ ' second. The frequency of vibration of air column is

A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their $p$th overtone is

A tuning fork with frequency 800 Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at lengths 9.75 cm, 31.25 cm and 52.75 cm. The speed of sound in air is,

A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, l1 = 30 cm and l2 = 70 cm. Then, v is equal to -

Two open pipes of different lengths and same diameter in which the air column vibrates with fundamental frequencies ' $n_1$ ', and ' $n_2$ ' respectively. When both pipes are joined to form a single pipe, its fundamental frequency will be

A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11 cm below a reference mark, near the open end of the tube. The experiment is repeated with another fork of frequency 256 Hz which produces first resonance when water reaches a mark 27 cm below the reference mark. The velocity of sound in air, obtained in the experiment, is close to:

The end correction of a resonance column is 1 cm. If the shortest length resonating with the tuning fork is 10 cm, the next resonating length should be:

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

A tuning fork is used to produce resonance in a glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27°C two successive resonances are produced at 20 cm and 73 cm of column length. If the frequency of the tuning fork is 320 Hz, the velocity of sound in air at 27°C is

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?