Formation of Standing Waves in an Air Column

The ratio of first harmonic of open organ pipe and closed organ pipe for the same length is

fundamental frequency of closed organ pipe is ( $\mathrm{V}=$velocity of sound in air, $\mathrm{L}=$Length of organ pipe)

Fundamental frequency of open organ pipe is ( $\mathrm{V}=$Velocity of sound in air, $\mathrm{L}=$Length of pipe)

For a organ pipe of length $L$, closed at both ends, the first displacement node is presend at :

At the closed end of an organ pipe:

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now:

A source of frequency 340 Hz is kept above a vertical cylindrical tube closed at lower end. The length of the is 120cm. Water is slowly poured in just enough to produce resonance. Then the minimum height (velocity of sound = $340m/s$ ) of the water level in the tube for that resonance is,

The fundamental frequency of an air column in a pipe closed at one end is $100 \mathrm{Hz}$. If the same pipe is open at both the ends, the frequencies produced in $\mathrm{Hz}$ are

The frequency of the first overtone of a closed pipe of length $l_c$ is equal to that of the third overtone of an open pipe of length $l_o$. The ratio $\frac{l_o}{l_c}$ will be,

In case of a closed organ pipe which harmonic, the $p^{\mathrm{th}}$ overtone will be?

A pipe closed at one end has length $83 \mathrm{cm}$. The number of possible natural oscillations of air column whose frequencies lie below $1000 \mathrm{Hz}$ are (velocity of sound in air $=332 \mathrm{m} {\mathrm{s}}^{-1}$)

An open organ pipe has a fundamental frequency $100 \mathrm{Hz}$. What frequency will be produced if its one end is closed?

A pipe $30 \mathrm{c}\mathrm{m}$long, is open at both ends. Which harmonic mode of the pipe resonates a $1.1 \mathrm{k}\mathrm{H}\mathrm{z}$ source?
(Speed of sound in air$=330 \mathrm{m}\mathrm{ }{\mathrm{s}}^{-1}$)

A tuning fork of frequency $340 \mathrm{Hz}$ is excited and held above a cylindrical tube of length $120 \mathrm{cm}$. It is slowly filled with water. What is the minimum height (in $\mathrm{cm}$) of the water column required for resonance to be first heard? (Velocity of sound $=340 {\mathrm{ms}}^{-1}$)

An open pipe $40 \mathrm{cm}$ long, and a closed pipe $31 \mathrm{cm}$ long, both are having same diameter. Both are in unison in their first overtone. Determine end correction of closed pipe in $\mathrm{cm}.$

The speed of sound in air is $350 \mathrm{m} {\mathrm{s}}^{-1}$. The fundamental frequency of an open pipe $50 \mathrm{cm}$ long will be $a\times {10}^2 \mathrm{Hz}$, what is the value of $a$ in proper decimal?

As an empty vessel is filled with water, its frequency:

An open pipe of length $33 \mathrm{cm}$ resonates with frequency of $1000 \mathrm{Hz}$ . If the speed of sound is $330\mathrm{m}/\mathrm{s}$, then this frequency is:

An organ pipe  ${\mathrm{P}}_1$ closed at one end vibrating in its first overtone and another pipe ${\mathrm{P}}_2$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of the length of ${\mathrm{P}}_1$ to that of${\mathrm{P}}_2$ is:

A closed organ pipe of length $\mathrm{L}$ and an open organ pipe contain gases of densities${\mathrm{\rho }}_1 \mathrm{and} {\mathrm{\rho }}_2$ respectively. The compressibility of gases is same in both the pipes which are vibrating in their first overtone with same frequency. The length of the open organ pipe is: