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Waves and Sound — NEET UG Physics PYQs

350 previous year questions from Waves and Sound with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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1

For the given wave equation y = 10 ( x 4 + t 2 ) , the CORRECT statement is ( where x is in metre and time t is in second.)

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2

The source is emitting sound of frequency 'n'. A source and a listener both are moving towards each other with a speed equal to ( V 3 ) , where V is the speed of sound. The frequen

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3

Two uniform strings X and Y made of same material made to vibrate under same tension. If the second overtone of string X is equal to the third overtone of string Y and the radius o

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4

A simple harmonic progressive wave is represented as Y = 0.04 (2t - 0.02x) m. At a given instant of time, the phase difference between two particles 10 m apart is (in radian)

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5

Two waves having same amplitude A , angular frequency and propagation constant k , traveling in opposite directions, have a phase difference of 60^ . If they interfere with each ot

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6

Identify the CORRECT statement on beats (A) The amplitude of beats is always constant. (B) Beats are produced when two waves have the same frequency. (C) Beat frequency is the aver

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7

An organ pipe closed at one end produces 5^ th overtone of an air column. It is found that air in the pipe is vibrating with x nodes and y antinodes. The value of x and y is

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8

The speed of the transverse wave on the stretched string under tension T₁ is v₁ . If the tension in the string is increased by T₁ , the speed of the transverse wave is v₂ . If is t

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9

A source of sound vibrating at frequency 500 Hz is rotated in a circle of radius 100 cm at a constant angular speed of 5 revolutions per second. A listener is in the plane of the c

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10

Two sources of sound placed closed to each other, are emitting progressive waves given by y₁ = 4 (600 t) and y₂ = 5 (608 t) . An observer located near these two sources of sound wi

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11

A uniform rope of length L and mass m₁ hangs vertically from a rigid support. A block of mass m₂ is attached to the free end of the rope. A transverse pulse of wavelength ₁ is prod

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12

The density of oxygen is 16 times that of hydrogen. The ratio of the velocity of sound in oxygen to that in hydrogen is

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13

Two identical straight wires are stretched so as to produce 8 beats per second when vibrating simultaneously with tensions T₁ and T₂ respectively. On changing the tensions, the bea

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14

The length of a sonometer wire AB is 176 cm. Where should the two bridges be placed from end A to divide the wire into three segments whose fundamental frequencies are in the ratio

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15

A wave is represented by the equation y=0.2 4 [ t 0.08 + x 0.8 + 1 12 ] in SI units. The expression represents a wave traveling in the

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16

The walls of the hall built for music concerts should

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17

Three waves of equal frequency having amplitudes 13 m , 6 m , 5 m arrive at a given point with successive phase difference of /2 . The amplitude of the resultant wave is (in m ) (

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18

The ends of the stretched wire of length L are fixed at x = 0 and x = L . In one experiment, the displacement of the wire is y₁ = A ( x L ) and energy is E₁ . In another experiment

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19

The tension in a piano wire is increased by 25 % . Its frequency becomes " nf ", where f is the original frequency, then, the value of n is nearly

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20

A tuning fork produces 6 beats per second with both, 60 cm and 40 cm of the stretched wire of sonometer. The frequency of fork is

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21

A progressive wave is given by Y = 6 (3t - 2x) m. On this wave, how far away are the two points having phase difference of 45^ ?

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22

Four harmonics of equal frequencies and equal intensities I₀ have phase angles 0, 3 , 2 3 , . When they are superimposed, the intensity of the resultant wave is " nI₀ ". The value

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23

A train moves towards a stationary observer with speed 20 m/s. The train sounds a whistle and its frequency heard by the observer is f₁ . When the train moves away from the platfor

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24

A pipe closed at end vibrating in the fourth overtone is in unison with the open pipe vibrating in its fourth overtone. The ratio of l_c : l_o is l_c = vibrating length of closed p

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25

A sonometer wire vibrating in two loops is in resonance with a tuning fork. If tension applied to the string is increased to 16 times the original tension and length of the wire is

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26

In a resonance tube experiment, three successive resonances are produced by adjusting the air column of the tube in the ratio 1:5:x . If the frequency of tuning fork is 380 Hz and

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27

A source of sound emitting a note of frequency n₀ is approaching a stationary listener. If the frequency of the note heard by the listener 3n₀ , the velocity of the source (V_s) is

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28

In the context of the Doppler effect in sound, which statement is true regarding the wave speed in the medium?

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29

A boy stands x m away from a high wall and claps his hands at a steady rate so that each clap coincides with the echo of the one before. If he makes 60 claps in 2 minutes and the v

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30

The ratio of frequencies of the second overtone produced by an open pipe to that of closed pipe having the same length is

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31

Two copper wires of radii r₁ and r₂ ( r₁ > r₂ ) are subjected to same tension and are plucked. Tansverse waves set up will

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32

Three tuning forks A, B and C have respective frequencies n₁ , n₂ and n₃ related as n₁ = 1.04 , n₂ and n₃ = 0.99 , n₂ . When A and C are sounded together 5 beats are heard per seco

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33

Which one of the following statements is true?

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34

A vibrating string of certain length 'l' under a tension 'T' resonates with a mode corresponding to the first overtone of an air column of length 75 cm inside a tube closed at one

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35

An organ pipe p₁ closed at one end has vibrating air column in its first overtone and another pipe P₂ open at both ends has vibrating air column in the third overtone, are in reson

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36

A string fixed at both the ends, forms a standing wave with node separation of 5 cm . If the velocity of the wave on the string is 2 m/s , then the frequency of vibration of the st

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37

In a pipe closed at one end, air column is vibrating in its third overtone. The air column has

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38

An object of specific gravity is hung from a thin steel wire. The fundamental frequency for the transverse stationary waves is 300 Hz. The object is immersed in water, so that one

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39

A transverse wave is described by the equation y = A 2 (nt - x 10 ) . The ratio of maximum particle velocity to wave velocity is

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40

A sound wave travels from a region of air at 20^ C into a region at 40^ C . What is the ratio of the wavelengths ( ₄₀/ ₂₀ ), if the frequency remains constant?

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41

If two waves y₁ = A ( t - 0.1x) and y₂ = A ( t - 0.1x - 2 ) are superimposed on each other, then the resultant amplitude due to superposition of waves is

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42

The displacement of a wave is given by y = 0.004 (200t - 2x) , in SI units. This wave represents a wave

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43

A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in fourth harmonic, and it resonates with the fundamental frequency of

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44

For a travelling harmonic wave y(x, t) = 2.0 2 (10 t - 0.0080 x + 0.35) , where x and y are in cm and t in s. The phase difference between oscillatory motion of two points separate

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45

For sound waves, if the number of nodes for the 5^ th harmonic of an open-ended pipe is n and that for the 9^ th harmonic of the same pipe with one of its ends closed is m , the ra

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46

A pipe open at both ends has a fundamental frequency f in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column

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47

The displacement of a travelling wave y=C 2 (at -x ) where t is time, x is distance and is the wavelength, all in S.I. units. Then the frequency of the wave is

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48

The 4^ th overtone of a closed organ pipe is same as that of 3^ rd overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:

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49

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

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50

An organ pipe filled with a gas at 27^ C resonates at 400 ~Hz in its fundamental mode. If it is filled with the same gas at 90^ C , the resonance frequency at the same mode will be

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51

If the initial tension on a stretched string is doubled, then the ratio of the initial and final speeds of a transverse wave along the string is:

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52

The length of the string of a musical instrument is 90   cm and has a fundamental frequency of 120   Hz . Where should it be pressed to produce fundamental frequency of 1

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53

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 frequ

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54

Find the distance between two consecutive nodes, if for a string T =0.25 ~N , =1 mg / m f =250 ~Hz .

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55

If frequency (v) of light is 5 10¹⁶ ~Hz and speed of light in air is 3 10^8 ~m / s . Find the ratio of wavelength of light in a medium of refractive index ' 2 ' to air

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56

If frequencies are (v-1),(v+1) , then find beats.

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57

A stationary wave equation is given as y=20 (20 x) (1000 t) . What will be the speed of stationary wave?

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58

A tuning fork with frequency 800 ~Hz produces resonance in a resonance column tube with upper end open and lower end closed by water surface. Successive resonance are observed at l

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59

If speed of sound in air is 340 ~m / s and in water is 1480 ~m / s . If frequency of sound is 1000 kHz, then find wavelength in water

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60

A organ pipe open on both ends in the n ^ th harmonic is in resonance with a source of 1000 Hz . The length of pipe is 16.6 cm and speed of sound in air is 332 ~m / s . Find the va

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61

How much intense is 80 dB sound in comparision to 40 dB ?

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62

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  o C two su

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63

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 p

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64

Two cars moving in opposite directions approach each other with speed of 22   m   s - 1 and 16.5   m   s - 1 respectively. The driver of the first car blows a h

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65

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?

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66

A bat emitting an ultrasonic wave of frequency 4.5 10^4 ~Hz at speed of 6 ~m / s between two parallel walls. The two frequencies heared by the bat will be

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67

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

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68

Three sound waves of equal amplitudes have frequencies, ( n   –   1 ) ,   n ,   ( n   +   1 ) . They superimpose to give beats. The number of be

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69

A siren emitting a sound of frequency 800 Hz moves away from an observer towards a cliff at a speed of 15   m  s - 1 . Then, the frequency of sound that the observer hear

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70

A uniform rope of length L and mass m 1 , hangs vertically from a rigid support. A block of mass m 2 is attached to the free end of the rope. A transverse pulse of wavelength &#955

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71

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

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72

A 4 kg block is suspended from the ceiling of an elevator through a spring having a linear mass density of 19.2 10⁻³ ~kg ~m ⁻³ . Find the speed with respect to spring with which a

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73

A source of sound S emitting waves of frequency 100 Hz and an observer O are located at some distance from each other. The source is moving with a speed of 19.4 m s - 1 at an angle

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74

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 t

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75

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 t

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76

Linear density of a string of is 1.3 10⁻⁴ ~kg / m and wave equation is y=0.021 (x+30 t) . Find, the tension in the string where, x in metre and t in second.

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77

Vibrations of rope tied by two rigid ends shown by equation y= 2 t 2 x , then minimum length of the rope will be

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78

When an open organ is dipped in water upto half of its height, then its frequency will become

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79

A sound source producing waves of frequency 300 Hz and wavelength 1 m observer is stationary, while source is going away with the velocity 30 ~m / s , then apparent frequency heare

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80

If n 1 ,   n 2 and n 3 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:

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81

A speeding motorcyclist sees traffic jam ahead of him. He slows down to 36 k m / h o u r . He finds that traffic has eased and a car moving ahead of him at 18 k m / h o u r is honk

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82

The number of possible natural oscillations of air column in a pipe closed at one end of length 85   c m whose frequencies lies below 1250   H z are: (velocity of sound =

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83

Progressive waves are represented by the equation aligned & y₁=a ( t-x) and & y₂=b ( t-x) aligned The phase difference between waves is

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84

Two coherent light beams of intensities I and 4 I are superposed. The maximum and minimum possible intensities in the resulting beam are

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85

The length of the wire between two ends of sonometer is 100 ~cm . What should be the positions of two bridges below the wire so that the three segments of the wire have their funda

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86

Two source P and Q produce notes of frequency 660 ~Hz each. A listener moves from P to Q with a speed of 1 ~ms ⁻¹ . If the speed of sound is 330 ~m / s , then the number of beats h

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87

If we study the vibration of a pipe open at both ends, then the following statements is not true

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88

A source of unknown frequency gives 4 beats/s when sounded with a source of known frequency 250 ~Hz . The second harmonic of the source of unknown frequency gives five beats per se

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89

A wave travelling in the positive x -direction having displacement along y -direction as 1 ~m , wavelength 2 m and frequency of 1 Hz is represented by

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90

An engine moving towards a wall with a velocity 50 ~m / s emits a note of 1.2 kHz . Speed of sound in air is 350 ~m / s . The frequency of the note after reflection from the wall a

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91

y=3 ( t 2 - x 4 ) represents an equation of a progressive wave, where t is in second and x is in metre. The distance travelled by the wave in 5 s is

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92

Two sources of sound placed close to each other, are emitting progressive waves given by y₁=4 600 t and y₂=5 608 t An observer located near these two sources of sound will hear

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93

A train moving at a speed of 220 ~ms ⁻¹ towards a stationary object, emits a sound of frequency 1000 ~Hz . Some of the sound reaching the object gets reflected back to the train as

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94

When a string is divided into three segments of lengths l₁, l₂ and l₃ , the fundamental frequencies of these three segments are v₁ , v₂ and v₃ respectively. The original fundamenta

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95

A tuning fork A produces 4 beats/s with another tuning fork B of frequency 320 Hz . On filing one of the prongs of A, 4 beats / s are again heard when sounded with the same fork B

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96

Which one of the following statements is true?

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97

A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is frequency of tuning fork? (v=332 ~m / s )

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98

A transverse wave is expressed as, y=y₀ 2 f t For what value of , maximum particle velocity equals to 4 times the wave velocity?

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99

When sound waves travel from air to water which one of the following remains constant?

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100

Two identical piano wires kept under the same tension T have a fundamental frequency of 600 ~Hz . The fractional increase in the tension of one of the wires which will lead to occu

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101

Sound waves travel at 350 ~m / s through a warm air and at 3500 ~m / s through brass. The wavelength of a 700 ~Hz acoustic wave as it enters brass from warm air

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102

The equation of a wave is y=5 ( t 0.04 - x 4 ) ; where, x is in cm and t is in second. The maximum velocity of the wave will be

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103

Two vibrating strings of the same material but lengths L and 2 L have radii 2 r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fun

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104

A tuning fork of frequency 512 ~Hz makes 4 beats/seconds with the vibrating string of a piano. The beat frequency decreases to 2 beats/s when the tension in the piano string is sli

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105

A transverse wave is represented by y=A ( t-k x) . For what value of the wavelength is the wave velocity equal to the maximum particle velocity?

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106

An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency ?

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107

A sound absorber attenuates the sound level by 20 dB . The intensity decreases by a factor of

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108

A wave in a string has an amplitude of 2 ~cm . The wave travels in the +ve direction of x axis with a speed of 128 ~ms ⁻¹ and it is noted that 5 complete waves fit in 4 ~m length o

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109

The driver of a car travelling with speed 30 ~ms ⁻¹ towards a hill sounds a horn of frequency 600 ~Hz . If the velocity of sound in air is 330 ~ms ⁻¹ , the frequency of reflected s

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110

Each of the two strings of length 51.6 ~cm and 49.1 ~cm are tensioned separately by 20 ~N force. Mass per unit length of both the strings is same and equal to 1 gm ⁻¹ . When both t

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111

A wave in a string has an amplitude of 2 ~cm . The wave travels in the +ve direction of x -axis with a speed of 128 ~m / s and it is noted that 5 complete waves fit in 4 ~m length

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112

The driver of a car traveling with speed 30 m / sec towards a hill sounds a horn of frequency 600 ~Hz . If the velocity of sound in air is 330 m / s , the frequency of reflected so

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113

Each of the two strings of length 51.6 ~cm and 49.1 ~cm are tensioned separately by 20 ~N force. Mass per unit length of both the strings is same and equal to 1 ~g / m . When both

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114

The time of reverberation of a room A is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room A ?

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115

Which one of the following statements is true?

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116

A closed organ pipe of length 20 cm is sounded with tuning fork in resonance. What is the frequency of tuning fork? (v=332 ~m / s )

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117

The wave described by y=0.25 (10 x-2 t) , where x and y are in meters and t in seconds, is a wave travelling along the

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118

The wave described by y=0.25 (10 x-2 t) , where x and y are in metre and t in second, is a wave travelling along the

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119

. Two points are located at a distance of 10 ~m and 15 ~m from the source of oscillation. The period of oscillation is 0.05 sec and the velocity of the wave is 300 ~m / sec . What

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120

Two periodic waves of intensities I₁ and I₂ pass through a region at the same time in the same direction. The sum of the maximum and minimum intensities is

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