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A second harmonic has to be generated in a string of length L, and it is stretched between two rigid supports. There are points where the string has to be plucked and touched to produce second harmonic. The points are

 

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Important Questions on Wave Motion on a String

EASY
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by, yx, t=0.5sin⁡5π4xcos⁡200πt. What is the speed of the travelling wave moving in the positive x direction? (x and t are in meter and second, respectively)
MEDIUM
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7×103 kg m-3 and its Young's modulus is 9.27×1010 Pa. What will be the fundamental frequency of the longitudinal vibrations?
MEDIUM
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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).
HARD
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
The total length of a sonometer wire fixed between two bridges is 110 cm. Now, two more bridges are placed to divide the length of the wire in the ratio 6:3:2. If the tension in the wire is 400 N and the mass per unit length of the wire is 0.01 kg m-1, then the minimum common frequency with which all the three parts can vibrate, is
EASY
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is y=0.3sin⁡0.157x cos(200πt). The length of the string is
(All quantities are in SI units.)
EASY
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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
EASY
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
In sonometer experiment, the string of length L under tension vibrates in second overtone between two bridges. The amplitude of vibration is maximum at
MEDIUM
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
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>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
A wire of length 2L, is made by joining two wires A and B of same length but different radii r and 2r and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of antinodes in wire A is p and that in B is q then ratio p:q is:
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MEDIUM
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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)
MEDIUM
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
If n1, n2 and n3 are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency n of the string is given by:
HARD
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
Two uniform wires of the same material are vibrating under the same tension. If the first overtone of the first wire is equal to the second overtone of the second wire and radius of the first wire is twice the radius of the second wire then the ratio of the lengths of the first wire to second wire is
MEDIUM
Physics>Oscillations and Waves>Wave Motion on a String>Standing Waves on a String
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>Wave Motion on a String>Standing Waves on a String
A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencier between these two. The lowest resonant frequency for this string is: