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There are four tuning forks, and one of them has frequency 553 Hz. By using any two forks at a time, the beat frequencies heard are 1,2,3,5,7,8. Which of the following could be a possible set of frequencies of other three forks.

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Important Questions on Mechanical Wave

EASY
Two sound waves with wavelengths 5.0 m and 5.5 m, respectively, each propagates in gas with velocity 330 m s-1. The number of beats that can be expected from them per second is
MEDIUM
The frequency of two tuning forks A and B are 1.5% more and 2.5% less than that of the tuning fork C. When A and B are sounded together, 12 beats are produced in 1 second. The frequency of tuning fork C is
EASY
A tuning fork A of unknown frequency produces 5 beats s-1 with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats s-1. What is the frequency of fork A ?
MEDIUM
An observer is riding on a bicycle and moving towards a hill at 18 km h-1. He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill. If the original frequency of the sound as emitted by source is 640 Hz and velocity of the sound in air is 320 m s-1, the beat frequency between the two sounds heard by observer will be _____ Hz.
HARD
Two men are walking along a horizontal straight line in the same direction. The man in front walks at a speed 1.0 m s-1 and the man behind walks at a speed 2.0 m s-1 . A third man is standing at a height 12 m above the same horizontal line such that all three men are in a vertical plane. The two walking men are blowing identical whistles which emit a sound of frequency 1430 Hz . The speed of sound in air is 330 m s-1. At the instant, when the moving men are 10 m apart, the stationary man is equidistant from them. The frequency of beats in Hz , heard by the stationary man at this instant, is __________.
MEDIUM
The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12 s, will be
EASY
A source of sound gives 5 beats per second when sounded with another source of frequency 100 s-1. The second harmonic of the source together with a source of frequency 205 s-1 gives 5 beats per second. The frequency of the source is
EASY
A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to the preceding fork and the frequency of the last fork is twice the frequency of the first, then the frequency of last fork is _____ Hz.
MEDIUM
The correct figure that shows, schematically, the wave pattern produced by the superposition of two waves of frequencies 9 Hz and 11 Hz, is
EASY
In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases to 7 Hz. If the frequency of A is 530 Hz, the original frequency of B will be:
EASY
A tuning fork vibrates with frequency 256 Hz and gives one beat per second with the third normal mode of vibration of an open pipe. What is the length of the pipe? (speed of sound in air is 340 m s-1)
EASY
Three sound waves of equal amplitudes have frequencies, (n  1), n, (n + 1). They superimpose to give beats. The number of beats produced per second will be
MEDIUM
A closed organ pipe and an open organ pipe of same length produce 2 beats sec-1 when they are set into vibrations together in fundamental mode. The length of open pipe is now halved and that of closed pipe is doubled. The number of beats produced will be
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A toy-car, blowing its horn, is moving with a steady speed of 5 m s-1, away from a wall. An observer, towards whom the toy car is moving, is able to hear 5 beats per second. If the velocity of sound in air is 340 m s-1 the frequency of the horn of the toy car is close to
MEDIUM
Two sitar strings, A and B playing the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz. The tension of the string B is slightly increased and the beat frequency is found to decrease by 3 Hz. If the frequency of A is 425 Hz. The original frequency of B is
MEDIUM
Two waves of wavelength 99 cm and 100 cm both travelling with velocity 396ms-1 are made to interface. The number of beats produced by them per second are
HARD
When two tuning forks ( fork 1 and fork 2 ) are sounded simultaneously, 4 beats per second are heard. Now, some tape is attached on the prong of the fork 2. When the tuning forks are sounded again, 6 beats per second are heard. If the frequency of fork 1 is 200 Hz, then what was the original frequency of fork 2 ?
HARD
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 higher frequency in the setting is 360 Hz, the beat frequency when the two wires are sounded together, is
HARD
A plane electromagnetic wave of frequency w0 falls normally on the surface of a mirror approaching with a relativistic velocity υ . Then frequency of the reflected wave will be given β=υc
EASY
Statement - 1: In case of beats, intensity of sound at some positions in space remains maximum and at others, it remains minimum

Statement - 2: Beats are formed due to superposition of sound waves of unequal frequencies.