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Waves and Sound — JEE Main & Advanced Physics PYQs

490 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.

490 questionsPhysicsSolutions on every page
1

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

JEE Advanced 2026 Solution View → 2

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

JEE Main 2026 Solution View → 3

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

JEE Main 2026 Solution View → 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 spe

JEE Main 2026 Solution View → 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 freque

JEE Main 2026 Solution View → 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

JEE Main 2026 Solution View → 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 .

JEE Main 2026 Solution View → 8

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

JEE Main 2026 Solution View → 9

In an open organ pipe ₃ and ₆ are 3^ rd and 6^ th harmonic frequencies, respectively. If ₆- ₃=2200 ~Hz then length of the pipe is _ _ _ _ mm . (Take velocity of sound in air is 330

JEE Main 2026 Solution View → 10

Two loudspeakers ( L₁ and L₂ ) 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 volume. A

JEE Main 2026 Solution View → 11

Two strings (A, B) having linear densities _ A =2 10⁻⁴ ~kg / m and, _ 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 and B are

JEE Main 2026 Solution View → 12

Consider a system of three connected strings, S₁, S₂ and S₃ with uniform linear mass densities kg / m , 4 ~kg / m and 16 ~kg / m , respectively, as shown in the figure. S₁ and S₂ a

JEE Advanced 2025 Solution View → 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 pulled

JEE Advanced 2025 Solution View → 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. Th

JEE Main 2025 Solution View → 15

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

JEE Main 2025 Solution View → 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 in

JEE Main 2025 Solution View → 17

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

JEE Main 2025 Solution View → 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

JEE Main 2025 Solution View → 19

Consider the sound wave travelling in ideal gases of He , CH ₄ , and CO ₂ . All the gases have the same ratio P , where P is the pressure and is the density. The ratio of the speed

JEE Main 2025 Solution View → 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.

JEE Main 2025 Solution View → 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 cm

JEE Main 2025 Solution View → 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: Gase

JEE Main 2025 Solution View → 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 :

JEE Main 2025 Solution View → 24

A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities ₁ and _ 2^ , respectively. The frequency of 9^ th harmonic

JEE Main 2025 Solution View → 25

Two uniform strings of mass per unit length and 4 , 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. The st

JEE Advanced 2024 Solution View → 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 figu

JEE Advanced 2024 Solution View → 27

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

JEE Main 2024 Solution View → 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 ________

JEE Main 2024 Solution View → 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 of

JEE Main 2024 Solution View → 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 60

JEE Main 2024 Solution View → 31

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

JEE Main 2024 Solution View → 32

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

JEE Main 2024 Solution View → 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 60 cm , the length of the closed pipe

JEE Main 2024 Solution View → 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 2 m and

JEE Main 2024 Solution View → 35

In a closed organ pipe, the frequency of fundamental note is 30 Hz . A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to 110

JEE Main 2024 Solution View → 36

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

JEE Main 2024 Solution View → 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 so

JEE Advanced 2023 Solution View → 38

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

JEE Advanced 2023 Solution View → 39

S 1 and S 2 are two identical sound sources of frequency 656 Hz . 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 circular path ar

JEE Advanced 2023 Solution View → 40

S 1 and S 2 are two identical sound sources of frequency 656 Hz . 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 circular path ar

JEE Advanced 2023 Solution View → 41

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

JEE Main 2023 Solution View → 42

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

JEE Main 2023 Solution View → 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 405 Hz and the speed of sound in a

JEE Main 2023 Solution View → 44

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

JEE Main 2023 Solution View → 45

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

JEE Main 2023 Solution View → 46

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

JEE Main 2023 Solution View → 47

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

JEE Main 2023 Solution View → 48

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

JEE Main 2023 Solution View → 49

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

JEE Main 2023 Solution View → 50

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

JEE Main 2023 Solution View → 51

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

JEE Main 2023 Solution View → 52

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

JEE Main 2023 Solution View → 53

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

JEE Main 2023 Solution View → 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

JEE Main 2023 Solution View → 55

The displacement equations of two interfering waves are given by y 1 = 10 sin ω t + π 3 cm , y 2 = 5 sin ω t + 3 cos ω t cm respectively. The amplitude of the r

JEE Main 2023 Solution View → 56

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

JEE Main 2023 Solution View → 57

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

JEE Main 2023 Solution View → 58

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

JEE Main 2023 Solution View → 59

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

JEE Main 2023 Solution View → 60

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

JEE Main 2023 Solution View → 61

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

JEE Main 2022 Solution View → 62

Two light beams of intensities 4 I and 9 I 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 differenc

JEE Main 2022 Solution View → 63

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

JEE Main 2022 Solution View → 64

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

JEE Main 2022 Solution View → 65

A wire of length 30 cm , stretched between rigid supports, has it's n th and n + 1 th harmonics at 400 Hz and 450 Hz , respectively. If tension in the string is 2700 N , it&#39

JEE Main 2022 Solution View → 66

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

JEE Main 2022 Solution View → 67

When a car is approaching the observer, the frequency of horn is 100 Hz . After passing the observer, it is 50 Hz . If the observer moves with the car, the frequency will be x 3 Hz

JEE Main 2022 Solution View → 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

JEE Main 2022 Solution View → 69

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 fr

JEE Main 2022 Solution View → 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 . 0 &#

JEE Main 2022 Solution View → 71

A longitudinal wave is represented by y = 10 sin 2 π n t - x λ cm . The maximum particle velocity will be four times the wave velocity if the determined value of waveleng

JEE Main 2022 Solution View → 72

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

JEE Main 2022 Solution View → 73

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

JEE Main 2022 Solution View → 74

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

JEE Main 2022 Solution View → 75

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

JEE Main 2022 Solution View → 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

JEE Main 2022 Solution View → 77

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

JEE Main 2022 Solution View → 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 twic

JEE Main 2022 Solution View → 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 20 cm . The length of the

JEE Main 2022 Solution View → 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 :

JEE Main 2022 Solution View → 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

JEE Main 2022 Solution View → 82

The equations of two waves are given by : y 1 = 5 sin 2 π x - v t cm y 2 = 3 sin 2 π x - v t + 1 . 5 cm These waves are simultaneously passing through a string. The ampli

JEE Main 2022 Solution View → 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 speed o

JEE Advanced 2021 Solution View → 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 900   N . The wire resonates at a freq

JEE Main 2021 Solution View → 85

A tuning fork is vibrating at 250 Hz . 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 m

JEE Main 2021 Solution View → 86

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

JEE Main 2021 Solution View → 87

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

JEE Main 2021 Solution View → 88

Two travelling waves produces a standing wave represented by equation. y = 1 . 0   mm cos 1 . 57   cm - 1 x   sin 78 . 5   s - 1   t . The node closest to

JEE Main 2021 Solution View → 89

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

JEE Main 2021 Solution View → 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 ∘ ?

JEE Main 2021 Solution View → 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 = 1   s , where x and y a

JEE Main 2021 Solution View → 92

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

JEE Main 2021 Solution View → 93

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

JEE Main 2021 Solution View → 94

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

JEE Main 2021 Solution View → 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

JEE Main 2021 Solution View → 96

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

JEE Main 2021 Solution View → 97

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 th

JEE Main 2021 Solution View → 98

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

JEE Main 2021 Solution View → 99

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

JEE Main 2021 Solution View → 100

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

JEE Main 2021 Solution View → 101

Which of the following equations represents a travelling wave?

JEE Main 2021 Solution View → 102

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

JEE Main 2021 Solution View → 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 2 m s - 1 in front of the open end of the pipe and parallel to it

JEE Advanced 2020 Solution View → 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 tra

JEE Main 2020 Solution View → 105

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

JEE Main 2020 Solution View → 106

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

JEE Main 2020 Solution View → 107

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

JEE Main 2020 Solution View → 108

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

JEE Main 2020 Solution View → 109

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

JEE Main 2020 Solution View → 110

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

JEE Main 2020 Solution View → 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 450 Hz and 300 Hz , respectively, then the ratio T X / T Z

JEE Main 2020 Solution View → 112

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

JEE Main 2020 Solution View → 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 r

JEE Main 2020 Solution View → 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

JEE Main 2020 Solution View → 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 300 m / s , the frequency diff

JEE Main 2020 Solution View → 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). The

JEE Main 2020 Solution View → 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

JEE Advanced 2019 Solution View → 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

JEE Advanced 2019 Solution View → 119

A train S 1 , moving with a uniform velocity of 108 k m / h , approaches another train S 2 standing on a platform. An observer O moves with a uniform velocity of 36 k m / h towards

JEE Advanced 2019 Solution View → 120

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

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