JEE Questions for Physics Waves Quiz 12 - MCQExams.com

Length of a string tied to two rigid supports is 40 cm. Maximum length (wavelength in cm) of a stationary wave produced on it is
  • 20
  • 80
  • 40
  • 120
Two wires are in unison. If the tension in one of the wires is increased by 2%, 5 beats are produced per second. The initial frequency of each wire is
  • 200 Hz
  • 400 Hz
  • 500 Hz
  • 1000 Hz
Two uniform strings A and B made of steel are made to vibrate under the same tension, if the first overtone of A is equal to the second overtone of B and if the radius of A is twice that of B, the ratio of the lengths of the strings is
  • 1 : 2
  • 1 : 3
  • 1 : 4
  • 1 : 6
If the length of a stretched string is shortened by 40% and the tension is increased by 44%, then the ratio of the final and initial fundamental frequencies is
  • 2 : 1
  • 3 : 2
  • 3 : 4
  • 1 : 3
Two wires are fixed in a sonometer. Their tensions are in the ratio 8:1. The lengths are in the ratio 36:35. The diameters are in the ratio 4 : 1. Densities of the materials are in the ratio 1 : 2. If the lower frequency in the setting is 360 Hz. the beat frequency when the two wires are sounded together is
  • 5
  • 8
  • 6
  • 10
A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10 cm/s. The wavelength of the wave is 0.5 m and its amplitude is 10 cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 0.05
Physics-Waves-96652.png

  • Physics-Waves-96653.png
  • 2)
    Physics-Waves-96654.png

  • Physics-Waves-96655.png

  • Physics-Waves-96656.png
A tuning fork of frequency 392 Hz, resonates with 50 cm length of a string under tension (T). If length of the string is decreased by 2%, keeping the tension constant, the number of beats heard when the string and the tuning fork made to vibrate simultaneously is
  • 4
  • 6
  • 8
  • 12
The sound carried by air from a sitar to a listener is a wave of the following type
  • Longitudinal stationary
  • Transverse progressive
  • Transverse stationary
  • Longitudinal progressive
In Melde\'s experiment in the transverse mode, the frequency of the tuning fork and the frequency of the waves in the strings are in the
  • 1 : 1
  • 1 : 2
  • 2 : 1
  • 4 : 1
The frequency of transverse vibrations in a stretched string is 200 Hz. If the tension is increased four times and the length is reduced to one-fourth the original value, the frequency of vibration will be
  • 25 Hz
  • 200 Hz
  • 400 Hz
  • 1600 Hz
Two wires are producing fundamental notes of the same frequency. Change in which of the following factors of one wire will not produce beats between them?
  • Amplitude of the vibrations
  • Material of the wire
  • Stretching force
  • Diameter of the wires
The fundamental frequency of a string stretched with a weight of 4 kg is 256 Hz. The weight required to produce its octave is
  • 4 kg wt
  • 8 kg wt
  • 12 kg wt
  • 16 kg wt
Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency n1 and the other with frequency n2. The ratio n1/n2 is given by
  • 2
  • 4
  • 8
  • 1
In a sonometer wire, the tension is maintained by suspending a 50.7 kg mass from the free end of the wire. The suspended mass has a volume of 0.0075 m3. The fundamental frequency of the wire is 260 Hz. If the suspended mass is completely submerged in water, the fundamental frequency will become (take g = 10 ms–2)
  • 240 Hz
  • 230 Hz
  • 220 Hz
  • 200 Hz
A string of length 2 m is fixed at both ends. If this string vibrates in its fourth normal mode with a frequency of 500 Hz then the waves would travel on its with a velocity of
  • 125 m/s
  • 250 m/s
  • 500 m/s
  • 1000 m/s
The fundamental frequency of a sonometer wire is n. If its radius is doubled and its tension becomes half, the material of the wire remains same, the new fundamental frequency will be
  • n
  • 2)
    Physics-Waves-96665.png

  • Physics-Waves-96666.png

  • Physics-Waves-96667.png
The speed of a wave on a string is 150 m/s when the tension is 120 N. The percentage increase in the tension in order to raise the wave speed by 20% is
  • 44%
  • 40%
  • 20%
  • 10%
When the length of the vibrating segment of a sonometer wire is increased by 1% the percentage change in its frequency is

  • Physics-Waves-96671.png
  • 2)
    Physics-Waves-96672.png
  • –1
  • 2
A 20 cm long string, having a mass of 1.0 g, is fixed at both the ends. The tension in the string is 0.5 N. The string is set into vibrations using an external vibrator of frequency 100 Hz. Find the separation (in cm) between the successive nodes on the string.
  • 15 cm
  • 5 cm
  • 25 cm
  • 22 cm
On which principle does Sonometer works?
  • Hooke's Law
  • Elasticity
  • Resonance
  • Newton's Law
A string vibrates with a frequency of 200 Hz. When its length is doubled and tension is altered, it begins to vibrate with a frequency of 300 Hz. The ratio of the new tension to the original tension is
  • 3 : 1
  • 1 : 3
  • 9 : 1
  • 1 : 9
Two stretched strings have lengths l and 2l while tensions are T and 4T respectively. If they are made of same material the ratio of their frequency is
  • 2 : 1
  • 1 : 2
  • 1 : 1
  • 1 : 4

Physics-Waves-96677.png
  • 6.25 N
  • 4.0 N
  • 12.5 N
  • 0.5 N
A standing wave is produced in a string fixed at both ends. In this case
  • All particles vibrate in phase
  • All antinodes vibrate in phase
  • All alternate antinodes vibrate in phase
  • All particles between two consecutive antinodes vibrate in phase
A uniform wire of length L, diameter D and density ρ is stretched under a tension T. The correct relation between its fundamental frequency ‘f \', the length L and the diameter D is

  • Physics-Waves-96679.png
  • 2)
    Physics-Waves-96680.png

  • Physics-Waves-96681.png

  • Physics-Waves-96682.png
The length of two open organ pipes are l and (l + ∆l) respectively. Neglecting end correction, the frequency of beats between them will be approximately
(Here v is the speed of sound)

  • Physics-Waves-96684.png
  • 2)
    Physics-Waves-96685.png

  • Physics-Waves-96686.png

  • Physics-Waves-96687.png
In an orchestra, the musical sounds of different instruments are distinguished from one another by which of the following characteristics?
  • Pitch
  • Loudness
  • Quality
  • Overtones
A tube closed at one end and containing air is excited. It produces the fundamental note of frequency 512 Hz. If the same tube is open at both the ends the fundamental frequency that can be produced is
  • 1024 Hz
  • 512 Hz
  • 256 Hz
  • 128 Hz
A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio
  • 1 : 2
  • 2 : 3
  • 3 : 4
  • 4 : 5
The first overtone in a closed pipe has a frequency
  • Same as the fundamental frequency of an open tube of same length
  • Twice the fundamental frequency of an open tube of same length
  • Same as that of the first overtone of an open tube of same length
  • None of the above
An empty vessel is partially filled with water, then the frequency of vibration of air column in the vessel
  • Remains same
  • Decreases
  • Increases
  • First increases then decreases
The fundamental frequencies of an open and a closed tube, each of same length L with v as the speed of sound in air, respectively are

  • Physics-Waves-96692.png
  • 2)
    Physics-Waves-96693.png

  • Physics-Waves-96694.png

  • Physics-Waves-96695.png
An air column in a pipe, which is closed at one end, will be in resonance with a vibrating body of frequency 166 Hz, if the length of the air column is
  • 2.00 m
  • 1.50 m
  • 1.00 m
  • 0.50 m
The fundamental note produced by a closed organ pipe is of frequency f. The fundamental note produced by an open organ pipe of same length will be of frequency
  • f/2
  • f
  • 2f
  • 4f
If the velocity of sound in air is 336 m/s. The maximum length of a closed pipe that would produce a just audible sound will be
  • 3.2 cm
  • 4.2 m
  • 4.2 cm
  • 3.2 m
A pipe 30 cm long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1.1 kHz source? (Take speed of sound in air = 330 ms–1)
  • First
  • Second
  • Third
  • Fourth
A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude ρ0 inside the tube. If the atmospheric pressure is ρA, then the ratio of maximum and minimum pressure at the closed end of the tube will be

  • Physics-Waves-96700.png
  • 2)
    Physics-Waves-96701.png

  • Physics-Waves-96702.png

  • Physics-Waves-96703.png
Two closed pipes produce 10 beats per second when emitting their fundamental nodes. If their lengths are in ratio of 25 : 26. Then their fundamental frequency in Hz, are
  • 270, 280
  • 260, 270
  • 260, 250
  • 260, 280
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
  • 230 m/s
  • 300 m/s
  • 320 m/s
  • 360 m/s
If v is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency n

  • Physics-Waves-96707.png
  • 2)
    Physics-Waves-96708.png

  • Physics-Waves-96709.png

  • Physics-Waves-96710.png
Standing stationary waves can be obtained in an air column even if the interfering waves are
  • Of different pitches
  • Of different amplitudes
  • Of different qualities
  • Moving with different velocities
The stationary wave y = 2a sin kx cos ωt in a closed organ pipe is the result of the superposition of y = a sin (ωt – kx) and
  • y = – a cos (ωt + kx)
  • y = – a sin (ωt + kx)
  • y = a sin (ωt + kx)
  • y = a cos (ωt + kx)
Stationary waves are set up in air column. Velocity of sound in air is 330 m/s and frequency is 165 Hz. Then distance between the nodes is
  • 2 m
  • 1 m
  • 0.5 m
  • 4 m
An open pipe of length 1 vibrates in fundamental mode. The pressure variation is maximum at
  • 1/4 from ends
  • The middle of pipe
  • The ends of pipe
  • At 1/8 from ends of pipe
Fundamental frequency of an open pipe of length 0.5 m is equal to the frequency of the first overtone of a closed pipe of length l. The value of lc is (m)
  • 1.5
  • 0.75
  • 2
  • 1
In a closed organ pipe the frequency of fundamental note is 50 Hz. The note of which of the following frequencies will not be emitted by it?
  • 50 Hz
  • 100 Hz
  • 150 Hz
  • None of these
On producing the waves of frequency 1000 Hz in a Kundt\'s tube, the total distance between 6 successive nodes is 85 cm. Speed of sound in the gas filled in the tube is
  • 330 m/s
  • 340 m/s
  • 350 m/s
  • 300 m/s
What is the base frequency if a pipe gives notes of frequencies 425, 255 and 595 and decide whether it is closed at one end or open at both ends?
  • 17, closed
  • 85, closed
  • 17, open
  • 85, open
A student determines the velocity of sound with the help of a closed organ pipe. If the observed length for fundamental frequency is 24.7 m, the length for third harmonic will be
  • 74.1 cm
  • 72.7 cm
  • 75.4 cm
  • 73.1 cm
In open organ pipe, if fundamental frequency is n then the other frequencies are
  • n, 2n, 3n, 4n
  • n, 3n, 5n
  • n, 2n, 4n, 8n
  • None of these
0:0:1


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