Waves
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Waves
111 questions · Physics · JEE Main
- A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the -direction in 0.3 sec . The crest P is at at and maximum displacement of the wave is 2 cm . Which equation correctly…2025 · 2 Apr · Shift 2 · Q55 · MCQ
- 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. The velocity of sound in the air column is:2025 · 3 Apr · Shift 2 · Q60 · MCQ
- In an experiment with a closed organ pipe, it is filled with water by th of its volume. The frequency of the fundamental note will change by2025 · 4 Apr · Shift 1 · Q62 · MCQ
- Displacement of a wave is expressed as . The wavelength of the wave when its velocity is is : 2025 · 4 Apr · Shift 2 · Q53 · MCQ
- Two harmonic waves moving in the same direction superimpose to form a wave where t is in seconds. Find the period with which they beat. (close to nearest integer)2025 · 7 Apr · Shift 1 · Q56 · MCQ
- The equation of a wave travelling on a string is y = sin[20πx + 10πt], where x and t are distance and time in SI units. The minimum distance between two points having the same oscillating speed is :2025 · 7 Apr · Shift 2 · Q67 · MCQ
- The amplitude and phase of a wave that is formed by the superposition of two harmonic travelling waves, and , are: (Take the angular frequency of…2025 · 8 Apr · Shift 2 · Q58 · MCQ
- 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. The velocity of the wave in the first string having the…2025 · 8 Apr · Shift 2 · Q62 · MCQ
- A closed organ and an open organ tube are filled by two different gases having same bulk modulus but different densities and , respectively. The frequency of harmonic of closed tube is identical with …2025 · 22 Jan · Shift 1 · Q60 · MCQ
- The equation of a transverse wave travelling along a string is , where is in mm and is in second. The velocity of the wave is :2025 · 23 Jan · Shift 2 · Q51 · MCQ
- Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason Assertion A: A sound wave has higher speed in solids than gases. Reason R: Gases have higher value of Bulk modulus than…2025 · 28 Jan · Shift 1 · Q52 · MCQ
- A tuning fork resonates with a sonometer wire of length stretched with a tension of . When the tension in the wire is changed to , the same tuning fork produces 12 beats per second with it.…2024 · 1 Feb · Shift 1 · Q89 · Numerical
- A sonometer wire of resonating length has a fundamental frequency of when kept under some tension. The resonating length of the wire with fundamental frequency of under same tension …2024 · 5 Apr · Shift 2 · Q82 · Numerical
- Two open organ pipes of lengths and resonate at and harmonics respectively. The difference of frequencies for the given modes is…2024 · 6 Apr · Shift 2 · Q87 · Numerical
- A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is then the value of is .2024 · 8 Apr · Shift 1 · Q81 · Numerical
- A plane progressive wave is given by . The frequency of the wave is :2024 · 8 Apr · Shift 2 · Q80 · MCQ
- A closed organ pipe long gives 7 beats per second with an open organ pipe of length , both vibrating in fundamental mode. The velocity of sound is .2024 · 27 Jan · Shift 2 · Q81 · Numerical
- In a closed organ pipe, the frequency of fundamental note is . A certain amount of water is now poured in the organ pipe so that the fundamental frequency is increased to . If the organ pipe has a…2024 · 30 Jan · Shift 1 · Q86 · Numerical
- A point source is emitting sound waves of intensity at the origin. The difference in intensity (magnitude only) at two points located at a distances of and from the origin respectively will…2024 · 30 Jan · Shift 2 · Q85 · Numerical
- 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 , the length of the closed pipe will be:2024 · 31 Jan · Shift 1 · Q71 · MCQ
- A steel wire with mass per unit length is under tension of . The speed of transverse waves in the wire will be:2023 · 1 Feb · Shift 1 · Q51 · MCQ
- An organ pipe long is open at both ends. The speed of sound in air is . The frequency of the second harmonic is .2023 · 8 Apr · Shift 1 · Q67 · Numerical
- A guitar string of length 90 cm vibrates with a fundamental frequency of 120 Hz. The length of the string producing a fundamental frequency of 180 Hz will be cm.2023 · 8 Apr · Shift 2 · Q60 · Numerical
- A transverse harmonic wave on a string is given by where x and y are in cm and t in sec. The wave velocity is ms .2023 · 10 Apr · Shift 1 · Q66 · Numerical
- For a periodic motion represented by the equation the amplitude of the motion is2023 · 10 Apr · Shift 2 · Q47 · MCQ
- The equation of wave is given by where and are in and in . The speed of the wave is .2023 · 11 Apr · Shift 1 · Q67 · Numerical
- For a certain organ pipe, the first three resonance frequencies are in the ratio of respectively. If the frequency of fifth harmonic is and the speed of sound in air is the length of the…2023 · 12 Apr · Shift 1 · Q66 · Numerical
- In an experiment with sonometer when a mass of is attached to the string, it vibrates with fundamental frequency of . When a mass is attached, the string vibrates with fundamental frequency…2023 · 13 Apr · Shift 2 · Q67 · Numerical
- The fundamental frequency of vibration of a string stretched between two rigid support is . The mass of the string is and its linear mass density is . The speed of the…2023 · 15 Apr · Shift 1 · Q64 · Numerical
- A travelling wave is described by the equation m The velocity of the wave is : [all the quantities are in SI unit]2023 · 24 Jan · Shift 1 · Q57 · MCQ
- 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/s2023 · 25 Jan · Shift 1 · Q68 · Numerical
- Two simple harmonic waves having equal amplitudes of 8 cm and equal frequency of 10 Hz are moving along the same direction. The resultant amplitude is also 8 cm. The phase difference between the individual waves is …2023 · 29 Jan · Shift 1 · Q66 · Numerical
- The displacement equations of two interfering waves are given by respectively. The amplitude of the resultant wave…2023 · 31 Jan · Shift 2 · Q67 · Numerical
- The equations of two waves are given by : y1 = 5 sin 2 (x - vt) cm y2 = 3 sin 2 (x vt + 1.5) cm These waves are simultaneously passing through a string. The amplitude of the resulting wave is :2022 · 24 Jun · Shift 1 · Q55 · MCQ
- 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 cm The amplitude…2022 · 24 Jun · Shift 2 · Q66 · Numerical
- 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 open organ pipe is cm.2022 · 25 Jun · Shift 1 · Q65 · Numerical
- A transverse wave is represented by . The value of wavelength (in ) for which the wave velocity becomes equal to the maximum particle velocity, will be :2022 · 26 Jul · Shift 2 · Q51 · MCQ
- 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…2022 · 26 Jun · Shift 2 · Q68 · Numerical
- A wire of length 30 cm, stretched between rigid supports, has it's nth and (n + 1)th harmonics at 400 Hz and 450 Hz, respectively. If tension in the string is 2700 N, it's linear mass density is kg/m.2022 · 27 Jul · Shift 2 · Q62 · Numerical
- If a wave gets refracted into a denser medium, then which of the following is true?2022 · 27 Jun · Shift 2 · Q61 · MCQ
- In the wave equation the velocity of the wave will be:2022 · 28 Jul · Shift 1 · Q54 · MCQ
- The velocity of sound in a gas, in which two wavelengths 4.08 m and 4.16 m produce 40 beats in 12s, will be :2022 · 28 Jun · Shift 1 · Q59 · MCQ
- 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, the minimum height of water required for observing…2022 · 28 Jun · Shift 2 · Q74 · Numerical
- A longitudinal wave is represented by cm. The maximum particle velocity will be four times the wave velocity if the determined value of wavelength is equal to :2022 · 29 Jun · Shift 1 · Q55 · MCQ
- 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 cm for a tuning fork of frequency 400 Hz is used. The velocity…2022 · 29 Jun · Shift 2 · Q64 · Numerical
- Which of the following equations correctly represents a travelling wave having wavelength = 4.0 cm, frequency v = 100 Hz and travelling in positive x-axis direction?2022 · 30 Jun · Shift 1 · Q53 · MCQ
- A closed organ pipe of length L and an open organ pipe contain gases of densities 1 and 2 respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same…2021 · 16 Mar · Shift 2 · Q67 · Numerical
- A sound wave of frequency 245 Hz travels with the speed of 300 ms 1 along the positive x-axis. Each point of the wave moves to and from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?2021 · 17 Mar · Shift 2 · Q43 · MCQ
- The amplitude of wave disturbance propagating in the positive x-direction is given by at time t = 0 and at t = 1 s, where x and y are in metres. The shape of wave does not…2021 · 20 Jul · Shift 1 · Q68 · Numerical
- The motion of a mass on a spring, with spring constant K is as shown in figure. The equation of motion is given by x(t) = A sin t + B cos t with = Suppose that at time t = 0, the position of… Includes diagram2021 · 22 Jul · Shift 2 · Q63 · MCQ
- Which of the following equations represents a travelling wave?2021 · 24 Feb · Shift 2 · Q53 · MCQ
- A student is performing the experiment of 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 given temperature is 336 m/s. The zero of the metre scale coincides…2021 · 25 Feb · Shift 1 · Q60 · MCQ
- The percentage increase in the speed of transverse waves produced in a stretched string if the tension is increased by 4%, will be %.2021 · 25 Feb · Shift 2 · Q69 · Numerical
- 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 the origin in the region x > 0 will be at x = .............. cm.2021 · 26 Aug · Shift 1 · Q68 · Numerical
- Two waves are simultaneously passing through a string and their equations are : y1 = A1 sin k(x vt), y2 = A2 sin k(x vt + x0). Given amplitudes A1 = 12 mm and A2 = 5 mm, x0 = 3.5 cm and wave number k = 6.28 cm 1. The amplitude…2021 · 26 Aug · Shift 2 · Q63 · Numerical
- The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y = 0.21 sin (x + 30t) is produced in it, where x is in meter and t is in second. Then, the expected value of tension in the wire is x 10 …2021 · 26 Feb · Shift 1 · Q67 · Numerical
- A tuning fork A of unknown frequency produces 5 beats/s with a fork of known frequency 340 Hz. When fork A is filed, the beat frequency decreases to 2 beats/s. What is the frequency of fork A?2021 · 26 Feb · Shift 2 · Q65 · MCQ
- 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 ms 1)2021 · 27 Aug · Shift 2 · Q67 · Numerical
- A wire having a linear mass density 9.0 10 4 kg/m is stretched between two rigid supports with a tension of 900 N. The wire resonates at a frequency of 500 Hz. The next higher frequency at which the same wire resonates is 550…2021 · 31 Aug · Shift 1 · Q67 · Numerical
- Two identical strings X and Z made of same material have tension TX and TZ in them. If their fundamental frequencies are 450 Hz and 300 Hz, respectively, then the ratio TX/TZ is2020 · 2 Sep · Shift 1 · Q51 · MCQ
- 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 wavetrain of wavelength 6 cm is produced at the lower end of the rope. What is…2020 · 3 Sep · Shift 1 · Q52 · MCQ
- For a transverse 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 possible wavelengths (in m) of the are :2020 · 4 Sep · Shift 1 · Q47 · MCQ
- Assume that the displacement(s) of air is proportional to the pressure difference ( p) created by a sound wave. Displacement (s) further depends on the speed of sound (v), density of air () and the frequency (f). If …2020 · 5 Sep · Shift 1 · Q48 · MCQ
- 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 the next resonance with the same tuning fork occurs at a height…2020 · 5 Sep · Shift 1 · Q59 · MCQ
- Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm2) is 90 ms-1. If the Young's modulus of wire is 16 1011 Nm-2, the extension of wire over its natural length is :2020 · 7 Jan · Shift 1 · Q55 · MCQ
- 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 difference between the fundamental and second harmonic of this…2020 · 8 Jan · Shift 1 · Q49 · Numerical
- A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 104 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to :2020 · 8 Jan · Shift 2 · Q48 · MCQ
- Three harmonic waves having equal frequency and same intensity , have phase angles 0, and respectively. When they are superimposed the intensity of the resultant wave is close to :2020 · 9 Jan · Shift 1 · Q51 · MCQ
- A wire of length L and mass per unit length 6.0 × 10–3 kgm–1 is put under tension of 540 N. Two consecutive frequencies that it resonates at are : 420 Hz and 490 Hz. Then L in meters is :2020 · 9 Jan · Shift 2 · Q65 · MCQ
- A wire of length 2L, is made by joining two wires A and B of same length but different radii r and 2r and made of the same material. It is vibrating at a frequency such that the joint of the two wires forms a node. If the number of… Includes diagram2019 · 8 Apr · Shift 1 · Q58 · MCQ
- A string is clamped at both the ends and it is vibrating in its 4th harmonic. The equation of the stationary wave is Y = 0.3 sin(0.157x) cos(200pt). The length of the string is : (All quantities are in SI units.)2019 · 9 Apr · Shift 1 · Q53 · MCQ
- The pressure wave, P = 0.01 sin [1000t – 3x] Nm–2, corresponds to the sound produced by a vibrating blade on a day when atmospheric temperature is 0°C. On some other day, when temperature is T, the speed of sound produced by the same blade…2019 · 9 Apr · Shift 1 · Q62 · MCQ
- A string 2.0 m long and fixed at its ends is driven by a 240 Hz vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is :-2019 · 9 Apr · Shift 2 · Q44 · MCQ
- A heavy ball of mass M is suspendeed from the ceiling of a car by a light string of mass m (m < < M). When the car is at rest, the speed of transverse waves in the string is 60 ms 1. When the car has acceleration a, the…2019 · 9 Jan · Shift 1 · Q61 · MCQ
- The correct figure that shows, schematically, the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz, is :2019 · 10 Apr · Shift 2 · Q54 · MCQ
- A string of length 1 m and mass 5 g is fixed at both ends. The tension in the string is 8.0 N. The string is set into vibration using an external vibrator of frequency 100 Hz. The separation between successive nodes on the string is close…2019 · 10 Jan · Shift 1 · Q49 · MCQ
- Equation of travelling wave on a stretched string of linear density 5 g/m is y = 0.03 sin(450 t – 9x) where distance and time are measured in SI units. The tension in the string is :2019 · 11 Jan · Shift 1 · Q43 · MCQ
- A progressive wave travelling along the positive x-direction is represented by y(x,t) = Asin(kx – t + ). Its snapshot at t = 0 is given in the figure. For this wave, the phase is : Includes diagram2019 · 12 Apr · Shift 1 · Q69 · MCQ
- A small speaker delivers 2 W of audio output. At what distance from the speaker will one detect 120 dB intensity sound ? [Given reference intensity of sound as 10–12 W/m2 ]2019 · 12 Apr · Shift 2 · Q44 · MCQ
- A tuning fork of frequency 480 Hz is used in an experiment for measuring speed of sound (v) in air by resonance tube method. Resonance is observed to occur at two successive lengths of the air column, l1 = 30 cm and l2 = 70 cm. Then, v is…2019 · 12 Apr · Shift 2 · Q45 · MCQ
- A travelling harmonic wave is represented by the equation y(x,t) = 10–3sin (50t + 2x), where, x and y are in mater and t is in seconds. Which of the following is a correct statement about the wave ?2019 · 12 Jan · Shift 1 · Q52 · MCQ
- A resonance tube is old and has jagged end. It is still used in the laboratory to determine velocity of sound in air. A tuning fork of frequency 512 Hz produces first resonance when the tube is filled with water to a mark 11 cm below a…2019 · 12 Jan · Shift 2 · Q52 · MCQ
- A tuning fork vibrates with frequency 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 )2018 · 15 Apr · Shift 1 · Q60 · MCQ
- 5 beats / econd are heard when a tuning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m. The frequency of the fork will be :2018 · 15 Apr · Shift 2 · Q60 · MCQ
- The end correction of a resonance column is 1 cm. If the shortest length resonating with the tunning fork is 10 cm, the next resonating length should be :2018 · 16 Apr · Shift 1 · Q59 · MCQ
- A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 103 kg/m3 and its Young’s modulus is 9.27 1010 Pa. What will be the fundamental frequency…2018 · Shift 0 · Q45 · MCQ
- Two wires W1 and W2 have the same radius r and respective densities 1 and 2 such that ρ2 = 4 1 . They are joined together at the point O, as shown in the figure. The combination is used as a sonometer wire and kept… Includes diagram2017 · 8 Apr · Shift 1 · Q61 · MCQ
- In an experiment to determine the period of a simple pendulum of length 1 m, it is attached to different spherical bobs of radii r1 and r2 . The two spherical bobs have uniform mass distribution. If the relative difference in the periods,…2017 · 9 Apr · Shift 1 · Q50 · MCQ
- A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by y(x, t) = 0.5 sin cos(200 t). What is the speed of the…2017 · 9 Apr · Shift 1 · Q61 · MCQ
- A pipe open at both ends has a fundamental frequency in air. The pipe is dipped vertically in water so that half of it is in water. The fundamental frequency of the air column is now :2016 · Shift 0 · Q52 · MCQ
- A uniform string of length is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the supports is : (take )2016 · Shift 0 · Q53 · MCQ
- A pipe of length is closed from one end. Find the number of possible natural oscillations of air column in the pipe whose frequencies lie below . The velocity of sound in air is .2014 · Shift 0 · Q61 · MCQ
- A sonometer wire of length is made of steel. The tension in it produces an elastic strain of . What is the fundamental frequency of steel if density and elasticity of steel are and …2013 · Shift 0 · Q66 · MCQ
- A cylindrical tube, open at both ends, has a fundamental frequency, in air. The tube is dipped vertically in water so that half of it is in water. The fundamental frequency of the air-column is now :2012 · Shift 0 · Q61 · MCQ
- The transverse displacement of a wave on a string is given by This represents 2011 · Shift 0 · Q66 · MCQ
- The equation of a wave on a string of linear mass density is given by The…2010 · Shift 0 · Q70 · MCQ
- Three sound waves of equal amplitudes have frequencies They superpose to give beats. The number of beats produced per second will be :2009 · Shift 0 · Q64 · MCQ
- A wave travelling along the -axis is described by the equation If the wavelength and the time period of the wave are and , respectively, then and …2008 · Shift 0 · Q74 · MCQ
- While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of during winter. Repeating the same experiment during summer, she measures the column…2008 · Shift 0 · Q75 · MCQ
- A sound absorber attenuates the sound level by . The intensity decreases by a factor of2007 · Shift 0 · Q85 · MCQ
- A string is stretched between fixed points separated by It is observed to have resonant frequencies of and . There are no other resonant frequencies between these two. Then, the lowest resonant frequency for this…2006 · Shift 0 · Q113 · MCQ
- When two tuning forks (fork and fork ) are sounded simultaneously, beats per second are heated. Now, some tape is attached on the prong of the fork When the tuning forks are sounded again, beats per second are heard. If…2005 · Shift 0 · Q158 · MCQ
- The displacement of a particle in a medium can be expressed as, where is in second and in meter. The speed of the wave is2004 · Shift 0 · Q180 · MCQ
- A metal wire of linear mass density of is stretched with a tension of - between two rigid supports metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibrates in…2003 · Shift 0 · Q163 · MCQ
- The displacement of a wave travelling in the -direction is given by where is expressed in metres and in seconds. The speed of the wave - motion, in…2003 · Shift 0 · Q164 · MCQ
- A tuning fork of known frequency makes beats per second with the vibrating string of a piano. The beat frequency decreases to beats per second when the tension in the piano string is slightly increased. The frequency of the…2003 · Shift 0 · Q165 · MCQ
- length of a string tied to two rigid supports is . Maximum length (wavelength in ) of a stationary wave produced on it is2002 · Shift 0 · Q156 · MCQ
- A tuning fork arrangement (pair) produces beats/sec with one fork of frequency A little wax is placed on the unknown fork and it then produces beats/sec. The frequency of the unknown fork is2002 · Shift 0 · Q157 · MCQ
- Tube has bolt ends open while tube has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube and is2002 · Shift 0 · Q158 · MCQ
- A wave on a string meets with another wave producing a node at Then the equation of the unknown wave is2002 · Shift 0 · Q159 · MCQ
- When temperature increases, the frequency of a tuning fork2002 · Shift 0 · Q160 · MCQ