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A closed and an open organ pipe have the same length. When they are vibrating simultaneously in their first overtone, they produce three beats. The length of the open pipe is now made one third the original length and one of its ends is closed. On the other hand, the length of the closed pipe is made three times the original length. The number of beats produced when they vibrate with fundamental frequencies will be

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Important Questions on Waves

MEDIUM
Physics>Oscillations and Waves>Waves>Standing Waves
A pipe of 1 m length is closed at one end. Taking the speed of sound in air as 320 m s-1, the air column in the pipe cannot resonate for the frequency in Hz
EASY
Physics>Oscillations and Waves>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
EASY
Physics>Oscillations and Waves>Waves>Standing Waves
The fundamental frequency of an air column in a pipe closed at one end is 100 Hz. If the same pipe is open at both the ends, the frequencies produced in Hz are
HARD
Physics>Oscillations and Waves>Waves>Standing Waves
A pipe of length 85 cm is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below 1250 Hz. The velocity of sound in air is 340 m/s.
MEDIUM
Physics>Oscillations and Waves>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
EASY
Physics>Oscillations and Waves>Waves>Standing Waves
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?
MEDIUM
Physics>Oscillations and Waves>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>Oscillations and Waves>Waves>Standing Waves
Two nearest harmonics of an organ pipe open at both the ends are 200Hz and 240Hz The fundamental frequency is
EASY
Physics>Oscillations and Waves>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)
EASY
Physics>Oscillations and Waves>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
MEDIUM
Physics>Oscillations and Waves>Waves>Standing Waves
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:
EASY
Physics>Oscillations and Waves>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:
MEDIUM
Physics>Oscillations and Waves>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.
EASY
Physics>Oscillations and Waves>Waves>Standing Waves
A cylindrical tube, open at both the ends has fundamental frequency n . If one of the ends is closed, the fundamental frequency will become
MEDIUM
Physics>Oscillations and Waves>Waves>Standing Waves
The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lies below 1250 Hz are: (velocity of sound =340 ms-1)
EASY
Physics>Oscillations and Waves>Waves>Standing Waves
Tube A has both ends open while tube B has one end closed. Otherwise, they are identical. The ratio of fundamental frequency of tube A and B is,
MEDIUM
Physics>Oscillations and Waves>Waves>Standing Waves
A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of 2 m s-1 in front of the open end of the pipe and parallel to it, the length of the pipe should be changed for the resonance to occur with the moving tuning fork. If the speed of sound in air is 320 m s-1, the smallest value of the percentage change required in the length of the pipe is ________.
HARD
Physics>Oscillations and Waves>Waves>Standing Waves
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
MEDIUM
Physics>Oscillations and Waves>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).
EASY
Physics>Oscillations and Waves>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