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For a stationary wave in an organ pipe, a node is a position of compression and an antinode is a position of rarefaction.

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Important Questions on Waves

HARD
Physics>Mechanical Wave>Waves>Standing Waves
Explain the formation of stationary waves in an air column enclosed in an open pipe. Derive the equations for the frequencies of the harmonics produced. A closed organ pipe 70 cm long is sounded. If the velocity of the sound is 331 m/s, what is the fundamental frequency of vibration of the air column?
MEDIUM
Physics>Mechanical Wave>Waves>Standing Waves
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.
HARD
Physics>Mechanical Wave>Waves>Standing Waves
A student is performing the experiment of the 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-1. The zero of the meter 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:
EASY
Physics>Mechanical Wave>Waves>Standing Waves
Standing waves of frequency 225 Hz are set up in a monoatomic gas kept in a cylindrical chamber closed at both ends and at temperature 27°C. The distance between the adjacent anti-nodes of the wave is 1 m. The atomic weight of the gas in kg·mol-1 is closest to
EASY
Physics>Mechanical Wave>Waves>Standing Waves
An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is 50  cm . The next larger length of the column resonating with the same tuning fork is:
HARD
Physics>Mechanical Wave>Waves>Standing Waves
A tunning 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)
MEDIUM
Physics>Mechanical Wave>Waves>Standing Waves
An open pipe resonates with a tuning fork of frequency 500 Hz. It is observed that two successive nodes are formed at distances 16 and 46 cm from the open end. The speed of sound in air in the pipe is
MEDIUM
Physics>Mechanical Wave>Waves>Standing Waves
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).
MEDIUM
Physics>Mechanical Wave>Waves>Standing Waves
A resonance tube is old and has a jagged end. It is still used in the laboratory to determine the 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
HARD
Physics>Mechanical Wave>Waves>Standing Waves
In an experiment, to measure the speed of sound by a resonating air column, a tuning fork of frequency 500 Hz is used. The length of the air column is varied by changing the level of water in the resonance tube. Two successive resonances are heard at air columns of length 50.7cm and 83.9cm. Which of the following statements is (are) true?
EASY
Physics>Mechanical Wave>Waves>Standing Waves
The fundamental frequency in an open organ pipe is equal to the third harmonic of closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is
HARD
Physics>Mechanical Wave>Waves>Standing Waves
Explain the formation of stationary waves in stretched strings and hence deduce the law of transverse waves in stretched strings.
EASY
Physics>Mechanical Wave>Waves>Standing Waves
A string is vibrating in its fifth overtone between two rigid supports 2.4 m apart. The distance between successive node and antinode is
HARD
Physics>Mechanical Wave>Waves>Standing Waves
Explain the formation of stationary waves in an air column enclosed in an open pipe. Derive the equations for the frequencies of the harmonics produced. A closed organ pipe 70 cm long is sounded. If the velocity of the sound is 331 m/s, what is the fundamental frequency of vibration of the air column?
EASY
Physics>Mechanical Wave>Waves>Standing Waves
A pipe closed at one end has length 83 cm. The number of possible natural oscillations of air column whose frequencies lie below 1000 Hz are (velocity of sound in air =332 m s-1)
MEDIUM
Physics>Mechanical Wave>Waves>Standing Waves
The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe which is  L meter long. The length of the open pipe will be
EASY
Physics>Mechanical Wave>Waves>Standing Waves
The fundamental frequency of a closed organ pipe of length 20 cm is equal to the second overtone of an organ pipe open at both the ends. The length of the organ pipe open at both the ends is
HARD
Physics>Mechanical Wave>Waves>Standing Waves
A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s-1. He is told that the air in the tube has been replaced by another gas (assume that the column remains filled with the gas). If the minimum height at which resonance occurs is (0.350± 0.005) m , the gas in the tube is (Useful information: 167RT=640 J12 mol-12; 140RT=590 J12 mol-12 . The molar masses M in grams are given in the options. Take the values of 10M for each gas as given there.)
EASY
Physics>Mechanical Wave>Waves>Standing Waves
A tuning fork is used to produce resonance in glass tube. The length of the air column in this tube can be adjusted by a variable piston. At room temperature of 27 oC 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 oC is
MEDIUM
Physics>Mechanical Wave>Waves>Standing Waves

Show that only odd harmonics are present as overtones in the case of an air column vibrating in a pipe closed at one end.