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JEE Waves and Sound PYQs with Solutions

490 previous year questions from Waves and Sound (JEE Main & Advanced Physics) with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

490 questionsPhysics2002–2026Answers + solutions

About Waves and Sound PYQs

Waves and Sound has 490 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (177) and JEE Advanced (43), spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

Questions by year (this list)

  • 2026: 11
  • 2025: 13
  • 2024: 12
  • 2023: 24
  • 2022: 22
  • 2021: 20
  • 2020: 14
  • 2019: 22
  • 2018: 8
  • 2017: 5
  • 2016: 5
  • 2015: 4

Waves and Sound questions with solutions

1

List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength λ = 0.29 m enters these structures at the point S and a

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2

A transverse wave on a string is described by y = 3 (36t + 0.018x + π/4) , where x, y are in cm and t in seconds. The least distance between the two successive crests in the wave

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3

The equation of a plane progressive wave is given by y = 5 π(200t - (x)/(150)) where x and y are in cm and t is in second. The velocity of the wave is _______ m/s.

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4

The speed of a longitudinal wave in a metallic bar is 400 ~m / s . If the density and Young's modulus of the bar material are increased by 0.5 \% and 1 \% , respectively then the

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5

Two tuning forks A and B are sounded together giving rise to 8 beats in 2 s. When fork A is loaded with wax, the beat frequency is reduced to 4 beats in 2 s. If the original

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6

A point source is kept at the center of a spherically enclosed detector. If the volume of the detector increased by 8 times, the intensity will

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7

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is 5 / x .

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8

The velocity of sound in air is doubled when the temperature is raised from 0^ ∘ C to α^ ∘ C . The value of α is \_\_\_\_ .

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9

In an open organ pipe ν_ 3 and ν_ 6 are 3^ rd and 6^ th harmonic frequencies, respectively. If ν_ 6 -ν_ 3 =2200 ~Hz then length of the pipe is \_\_\_\_ mm . (Take velocity of

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10

Two loudspeakers ( L_ 1 and L_ 2 ) are placed with a separation of 10 m, as shown in figure. Both speakers are fed with an audio input signal of same frequency with constant

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11

Two strings (A, B) having linear densities μ_ A =2 × 10^ -4 ~kg / m and, μ_ B =4 × 10^ -4 ~kg / m and lengths L_ A =2.5 ~m and L_ B =1.5 ~m respectively are joined. Free ends of A

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12

Consider a system of three connected strings, S_1, S_2 and S_3 with uniform linear mass densities μ kg / m , 4 μ ~kg / m and 16 μ ~kg / m , respectively, as shown in the figure.

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13

An audio transmitter (T) and a receiver (R) are hung vertically from two identical massless strings of length 8 m with their pivots well separated along the X axis. They are

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14

Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings.

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15

The equation of a wave travelling on a string is y= [20 π x+10 π t] , where x and t are distance and time in SI units. The minimum distance between two points having the same

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16

Two harmonic waves moving in the same direction superimpose to form a wave x=a (1.5 t) (50.5 t) where t is in seconds. Find the period with which they beat (close to nearest

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17

Displacement of a wave is expressed as x(t)=5 (628 t+(π)/(2)) m . The wavelength of the wave when its velocity is 300 ~m / s is :

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18

In an experiment with a closed organ pipe, it is filled with water by ((1)/(5)) th of its volume. The frequency of the fundamental note will change by

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19

Consider the sound wave travelling in ideal gases of He, CH_4 , and CO_2 . All the gases have the same ratio (P)/(ρ) , where P is the pressure and ρ is the density. The ratio of

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20

In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes.

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21

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x -direction in 0.3 sec. The crest P is at x=0 at t=0 sec and maximum displacement of the wave is 2

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22

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: A sound wave has higher speed in solids than gases. Reason R

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23

The equation of a transverse wave travelling along a string is y(x, t)=4.0 [20 × 10^ -3 x+600 t] mm , where x is in mm and t is in second. The velocity of the wave is :

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24

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities ρ_1 and ρ_ 2^ , respectively. The frequency of 9^ th

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25

Two uniform strings of mass per unit length μ and 4 μ , and length L and 2 L , respectively, are joined at point O , and tied at two fixed ends P and Q , as shown in the figure.

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26

A source (S) of sound has frequency 240 ~Hz . When the observer (O) and the source move towards each other at a speed v with respect to the ground (as shown in Case 1 in the

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27

A plane progressive wave is given by y=2 2 π(330 t-x) m . The frequency of the wave is :

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28

A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is ((a-1)/(a)) then the value of a is ________

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29

Two open organ pipes of lengths 60 ~cm and 90 ~cm resonate at 6^ th and 5^ th harmonics respectively. The difference of frequencies for the given modes is _______ Hz . (Velocity

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30

A sonometer wire of resonating length 90 ~cm has a fundamental frequency of 400 ~Hz when kept under some tension. The resonating length of the wire with fundamental frequency of

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31

A tuning fork resonates with a sonometer wire of length 1m stretched with a tension of 6N . When the tension in the wire is changed to 54N, the same tuning fork produces 12 beats

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32

The speed of sound in oxygen at S.T.P. will be approximately: (Given, R = 8 . 3J K ^ - 1 , γ = 1 . 4 )

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33

The fundamental frequency of a closed organ pipe is equal to the first overtone frequency of an open organ pipe. If length of the open pipe is 60cm , the length of the closed pipe

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34

A point source is emitting sound waves of intensity 16 × 10 ^ - 8 W m ^ - 2 at the origin. The difference in intensity (magnitude only) at two points located at a distances of 2m

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35

In a closed organ pipe, the frequency of fundamental note is 30Hz . A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to

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36

A closed organ pipe 150cm long gives 7 beats per second with an open organ pipe of length 350cm , both vibrating in fundamental mode. The velocity of sound is ______ m s ^ - 1 .

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37

An ideal gas is in thermodynamic equilibrium. The number of degrees of freedom of a molecule of the gas is n . The internal energy of one mole of the gas is U _ n and the speed of

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38

A string of length 1m and mass 2 × 10 ^ - 5 kg is under tension T . When the string vibrates, two successive harmonics are found to occur at frequencies 750Hz and 1000Hz . The

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39

S _ 1 and S _ 2 are two identical sound sources of frequency 656Hz . The source S _ 1 is located at O and S _ 2 moves anti-clockwise with a uniform speed 4 2 m s ^ - 1 on a

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40

S _ 1 and S _ 2 are two identical sound sources of frequency 656Hz . The source S _ 1 is located at O and S _ 2 moves anti-clockwise with a uniform speed 4 2 m s ^ - 1 on a

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41

The fundamental frequency of vibration of a string between two rigid support is 50Hz . The mass of the string is 18g and its linear mass density is 20g m ^ - 1 . The speed of the

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42

In an experiment with sonometer when a mass of 180g is attached to the string, it vibrates with fundamental frequency of 30Hz . When a mass m is attached, the string vibrates with

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43

For a certain organ pipe, the first three resonance frequencies are in the ratio of 1: 3: 5 respectively. If the frequency of fifth harmonic is 405Hz and the speed of sound in air

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44

A car P travelling at 20m s ^ - 1 sounds its horn at a frequency of 400Hz . Another car Q is travelling behind the first car in the same direction with a velocity 40m s ^ - 1 .

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45

A wire of density 8 × 10 ^ 3 kg m ^ - 3 is stretched between two clamps 0 . 5m apart. The extension developed in the wire is 3 . 2 × 10 ^ - 4 m . If Y = 8 × 10 ^ 10 N m ^ - 2

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46

The equation of wave is given by Y = 10 ^ - 2 sin2π(160t - 0 . 5x + (π)/(4)) , where x and Y are in m and t in s . The speed of the wave is _______ km h ^ - 1 .

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47

A transverse harmonic wave on a string is given by y(x, t) = 5sin(6t + 0 . 003x) where x and y are in cm and t in sec . The wave velocity is _________ m s ^ - 1 .

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48

A guitar string of length 90cm vibrates with a fundamental frequency of 120Hz . The length of the string producing a fundamental of 180Hz will be _____ cm

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49

The engine of a train moving with speed 10m s ^ - 1 towards a platform sounds a whistle at frequency 400Hz . The frequency heard by a passenger inside the train is: (Neglect air

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50

An organ pipe 40cm long is open at both ends. The speed of sound in air is 360m s ^ - 1 . The frequency of the second harmonic is _ ________Hz .

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51

The ratio of speed of sound in hydrogen gas to the speed of sound in oxygen gas at the same temperature is:

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52

A person driving car at a constant speed of 15m s ^ - 1 is approaching a vertical wall. The person notices a change of 40Hz in the frequency of his car’s horn upon

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53

A steel wire with mass per unit length 7 . 0 × 10 ^ – 3 kg m ^ – 1 is under tension of 70N . The speed of transverse waves in the wire will be:

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54

For a solid rod, the Young's modulus of elasticity is 3 . 2 × 10 ^ 11 N m ^ - 2 and density is 8 × 10 ^ 3 kg m ^ - 3 . The velocity of longitudinal wave in the rod will be

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55

The displacement equations of two interfering waves are given by y _ 1 = 10sin( + (π)/(3))cm , y _ 2 = 5[sin( ) + 3 cos ]cm respectively. The amplitude of the resultant wave is

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56

A person observes two moving trains, A reaching the station and B leaving the station with equal speed of 30m s ^ - 1 . If both trains emit sounds with frequency 300Hz , (Speed of

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57

Match List I with List II List I List II A Troposphere I Approximate 65 - 75km over Earth’s surface B E-Part of Stratosphere II Approximate 300km over Earth’s surface

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58

A train blowing a whistle of frequency 320Hz approaches an observer standing on the platform at a speed of 66m s ^ - 1 . The frequency observed by the observer will be (given

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59

The distance between two consecutive points with phase difference of 60 ° in a wave of frequency 500Hz is 6 . 0m . The velocity with which wave is travelling is ______ km s ^ - 1 .

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60

A travelling wave is described by the equation y(x, t) = [0 . 05sin(8x - 4t)]m . The velocity of the wave is: [All the quantities are in SI unit]

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61

The speed of a transverse wave passing through a string of length 50cm and mass 10g is 60m s ^ - 1 . The area of cross-section of the wire is 2 . 0 mm ^ 2 and its Young's

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62

Two light beams of intensities 4I and 9I interfere on a screen. The phase difference between these beams on the screen at point A is zero and at point B is π . The difference of

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63

In the wave equation y = 0 . 5sin(2π)/(λ)(400t - x)m the velocity of the wave will be :

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64

The frequency of echo will be _____ Hz if the train blowing a whistle of frequency 320Hz is moving with a velocity of 36km h ^ - 1 towards a hill from which an echo is heard by

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65

A wire of length 30cm , stretched between rigid supports, has it's n ^ th and (n + 1) ^ th harmonics at 400Hz and 450Hz , respectively. If tension in the string is 2700N

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66

A transverse wave is represented by y = 2sin( - kx)cm . The value of wavelength (in cm ) for which the wave velocity becomes equal to the maximum particle velocity, will be

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67

When a car is approaching the observer, the frequency of horn is 100Hz . After passing the observer, it is 50Hz . If the observer moves with the car, the frequency will be

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68

Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed of gas molecules in the mixture is 2 times the speed of sound, then the value of n will be

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69

An observer is riding on a bicycle and moving towards a hill at 18km h ^ - 1 . He hears a sound from a source at some distance behind him directly as well as after its reflection

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70

In an experiment to determine the velocity of sound in air at room temperature using a resonance tube, the first resonance is observed when the air column has a length of 20 . 0cm

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71

A longitudinal wave is represented by y = 10sin2π(nt - (x)/(λ))cm . The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is

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72

A tunning fork of frequency 340Hz resonates in the fundamental mode with an air column of length 125cm in a cylindrical tube closed at one end. When water is slowly poured in it

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73

A radar sends an electromagnetic signal of electric field ( E _ 0 ) = 2 . 25V m ^ - 1 and magnetic field ( B _ 0 ) = 1 . 5 × 10 ^ - 8 T which strikes a target on line of sight at

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74

The velocity of sound in a gas, in which two wavelengths 4 . 08m and 4 . 16m produce 40 beats in 12s , will be

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75

If a wave gets refracted into a denser medium, then which of the following is true?

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76

An observer moves towards a stationary source of sound with a velocity one-fifth of the velocity of sound. The percentage change in the apparent frequency is

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77

For a specific wavelength 670nm of light coming from a galaxy moving with velocity v , the observed wavelength is 670 . 7nm . The value of v is

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78

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

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79

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 20cm . The length of the

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80

Two light beams of intensities in the ratio of 9: 4 are allowed to interfere. The ratio of the intensity of maxima and minima will be :

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81

Two travelling waves of equal amplitudes and equal frequencies move in opposite directions along a string. They interfere to produce a stationary wave whose equation is given by y

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82

The equations of two waves are given by : y _ 1 = 5sin2π(x - vt)cm y _ 2 = 3sin2π(x - vt + 1 . 5)cm These waves are simultaneously passing through a string. The amplitude of the

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83

A source, approaching with speed u towards the open end of a stationary pipe of length L , is emitting a sound of frequency f _ s . The farther end of the pipe is closed. The

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84

A wire having a linear mass density 9 . 0 × 10 ^ - 4 kg m ^ - 1 is stretched between two rigid supports with a tension of 900N . The wire resonates at a frequency of 500Hz . The

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85

A tuning fork is vibrating at 250Hz . The length of the shortest closed organ pipe that will resonate with the tuning fork will be _____ cm . (Take speed of sound in air as 340 ms

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86

Two cars X and Y are approaching each other with velocities 36km h ^ - 1 and 72km h ^ - 1 respectively. The frequency of a whistle sound as emitted by a passenger in car X, heard

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87

Two waves are simultaneously passing through a string and their equations are : y _ 1 = A _ 1 sink ( x - vt ) , y _ 2 = A _ 2 sink(x - vt + x _ 0 ) . Given amplitudes A _ 1 = 12mm

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88

Two travelling waves produces a standing wave represented by equation. y = (1 . 0mm)cos[(1 . 57 cm ^ - 1 )x]sin[(78 . 5 s ^ - 1 )t] . The node closest to the origin in the region

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89

A source and a detector move away from each other in absence of wind with a speed of 20m s ^ - 1 , with respect to the ground. If the detector detects a frequency of 1800Hz of the

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90

With what speed should a galaxy move outward with respect to earth so that the sodium- D line at wavelength 5890 ∘ A is observed at 5896 ∘ A ?

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91

The amplitude of wave disturbance propagating in the positive x -direction is given by y = 1 ( 1 + x ) ^ 2 at time t = 0 and y = 1 1 + ( x - 2 ) ^ 2 at t = 1s , where x and y are

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92

The frequency of a car horn encountered a change from 400Hz to 500Hz . When the car approaches a vertical wall. If the speed of sound is 330m s ^ - 1 . Then the speed of car is

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93

A galaxy is moving away from the earth at a speed of 286km s ^ - 1 . The shift in the wavelength of a red line at 630nm is x × 10 ^ - 10 m . The value of x , to the nearest

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94

A sound wave of frequency 245Hz travels with the speed of 300 ms ^ - 1 along the positive x-axis. Each point of the wave moves to and fro through a total distance of 6cm . What

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95

A closed organ pipe of length L and an open organ pipe contain gases of densities ρ _ 1 and ρ _ 2 respectively. The compressibility of gases are equal in both the pipes. Both the

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96

A 25m long antenna is mounted on an antenna tower. The height of the antenna tower is 75m . The wavelength (in meter) of the signal transmitted by this antenna would be :

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97

A tuning fork A of unknown frequency produces 5beats s ^ - 1 with a fork of known frequency 340Hz . When fork A is filed, the beat frequency decreases to 2beats s ^ - 1 . What is

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98

The mass per unit length of a uniform wire is 0 . 135g cm ^ - 1 . A transverse wave of the form y = - 0 . 21sin(x + 30t) is produced in it, where x is in meter and t is in second.

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99

The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4 % , will be ___ % .

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100

A student is performing the experiment of the resonance column. The diameter of the column tube is 6cm . The frequency of the tuning fork is 504Hz . Speed of the sound at the

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101

Which of the following equations represents a travelling wave?

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102

Two cars are approaching each other at an equal speed of 7 . 2km hr ^ - 1 . When they see each other, both blow horns having a frequency of 676Hz . The beat frequency heard by

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103

A stationary tuning fork is in resonance with an air column in a pipe. If the tuning fork is moved with a speed of 2m s ^ - 1 in front of the open end of the pipe and parallel to

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104

A sound source S is moving along a straight track with speed v , and is emitting sound of frequency v _ 0 .An observer is standing at a finite distance, at the point O, from the

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105

A driver in a car, approaching a vertical wall notices that the frequency of his car horn has changed from 440Hz to 480Hz , when it gets reflected from the wall. If the speed of

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106

Assume that the displacement (s) of air is proportional to the pressure difference ( ) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density

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107

In a resonance tube experiment when the tube is filled with water up to a height of 17 . 0cm, from bottom, it resonates with a given tuning fork. When the water level is raised

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108

The driver of bus approaching a big wall notices that the frequency of his bus's horn changes from 420Hz to 490Hz when he hears it after it gets reflected from the wall. Find

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109

For a transvers wave travelling, along a straight line, the distance between two peaks (crests) is 5m , while the distance between one crest and one trough is 1 . 5m . The

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110

A uniform thin rope of length 12m and mass 6kg hangs vertically from a rigid support and a block of mass 2kg is attached to its free end. A transverse short wave train of

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111

Two identical strings X and Z made of same material have tension T _ X and T _ Z in then if their fundamental frequencies are 450Hz and 300Hz , respectively, then the ratio T _ X

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112

A wire of length L and mass per unit length 6.0 × 10 ^ - 3 kg m ^ - 1 is put under tension of 540N . Two consecutive frequencies that it resonates at are: 420Hz and 490Hz . Then L

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113

Three harmonic waves having equal frequency v and same intensity I _ 0 , have phase angles 0, (π)/(4) and - (π)/(4) respectively. When they are superimposed the intensity of the

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114

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 10 ^ 4 N . When the tension is changed to T, the velocity changed to (v)/(2) . The

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115

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 300m / s, the frequency

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116

A stationary observer receives sound from two identical tuning forks, one of which approaches and the other one recedes with the same speed (much less than the speed of sound).

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117

Answer the following by appropriately matching the lists based on the information given in the paragraph. A musical instrument is made using four different metal strings, 1, 2, 3

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118

Answer the following by appropriately matching the lists based on the information given in the paragraph. A musical instrument is made using four different metal strings, 1, 2, 3

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119

A train S1, moving with a uniform velocity of 108km / h, approaches another train S2 standing on a platform. An observer O moves with a uniform velocity of 36km / h towards S2, as

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120

A small speaker delivers 2W of audio output. At what distance from the speaker will one detect 120dB intensity sound? [Given reference intensity of sound as 10 ^ - 12 W / m ^ 2 ]

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