Oscillations and Waves — practice questions

167 curated practice questions from Oscillations and Waves (Physics JEE Main, NTA Exams) — 138 easy, 14 hard, 15 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.

• The path difference between the two waves y_ 1 =a_ 1 ( t- 2 x ) and y_ 2 =a_ 2 ( t- 2 x + ) is
• When sound propagates through air, the region of high density of air molecules is called:
• A wire under tension vibrates with a fundamental frequency of 600 Hz. If the length of the wire is doubled, the radius…
• Two wires are fixed in a sonometer. Their tensions are in the ratio 8 : 1. The lengths are in the ratio 36 : 35. The…
• A transverse wave is described by the equation y=y_ 6 2 (f t- x ) The maximum particle velocity is equal to four times…
• The composition of two simple harmonic motions of equal periods at right angle to each other with a phase difference of…
• A set of 65 tuning forks is so arranged that each gives 3 beats per second with the previous one and the last sounds…
• When a longitudinal wave propagates through a medium, the particles of the medium execute simple harmonic oscillations…
• A travelling wave in a stretched string is described by the equation y=A (k x- t) . The maximum particle velocity is
• A transistor-oscillator using a resonant circuit with an inductor L (of negligible resistance) and a capacitor C in…
• The phase difference between x_ 1 =A t and x_ 2 =A t is:
• A standing wave is formed on a string fixed at both the ends. The individual waves i.e., incident wave and reflected…
• A cylindrical tube, open at both ends, has a fundamental frequency f in air. The tube is dipped vertically in water so…
• Which of the following expressions of force, corresponds to simple harmonic motion along a straight line, where x is…
• A pulse of a wave train travels along a stretched string and reaches the fixed end of the string. It will be reflected…
• A block is left from x = + A, its speed at x= +A 2 is: (ω = 2 rad/s).
• Two sources A and B are sounding notes of frequency 680 Hz. A listener moves from A to B with a constant velocity u. If…
• A cylindrical tube, open at both ends, has a fundamental frequency f in air. The tube is dipped vertically in water so…
• The displacement of a particle varies with time according to the relation: y = asin ωt + bcos ωt. Choose the correct…
• If T is the reverberation time of auditorium of volume V, then
• The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig. y –…
• A standing wave is formed on a string fixed at both the ends. The individual waves i.e., incident wave and reflected…
• The displacement of particle between maximum potential energy position and maximum kinetic energy position in simple…
• For a particle executing SHM having amplitude 'a' the speed of the particle is one half of its maximum speed when its…
• The period of oscillation of a mass m suspended from a spring is 2 seconds. If along with it another mass of 2 kg is…
• A mass of 1 kg attached to the bottom of a spring has a certain frequency of vibration. The following mass has to be…
• A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are…
• The resultant of two rectangular simple harmonic motions of same frequency and unequal amplitudes but differing in…
• A simple pendulum has a time period T1 when on the Earth’s surface and T2 when taken to a height 2R above the Earth’s…
• If the tension of a string stretched between two nodes is increased by 2%, the frequency of vibration change by
• A sings with a frequency n and B sings with a frequency 1 8 that of A. If the energy remains the same and the amplitude…
• A particle is executing a simple harmonic motion. Its maximum acceleration is α and maximum velocity is β. Then, its…
• A standing wave consisting of 3 nodes and 2 antinodes is formed between the two atoms having a distance of 1.21 Å…
• Standing waves are produced in 10 m long stretched string. If the string vibrates in 5 segments and wave velocity is 20…
• The relation between acceleration and displacement of four particles are given below: which one of the particles is…
• A force of 6.4 N stretches a vertical spring by 0.1m. The mass that must be suspended from the spring so that it…
• A wave equation is given by y=4 [ ( t 5 - x 9 + 1 6 ) ] where, x is in cm and t is in seconds. The wavelength of the…
• If separation between screen and source is increased by 2% what would be the effect on the intensity
• A train is moving with a constant speed along a circular track. The engine of the train emits a sound of frequency f …
• A mass m is performing linear simple harmonic motion, then which of the following graph represents correctly the…
• The minimum distance between the two points having the same phase is:
• The motion of a particle executing SHM is given as x=0.01 [100 (t+0.0005)] where, x is displacement in meter and t is…
• Assertion: In extreme position of a particle executing S.H.M., both velocity and acceleration are zero. Reason: In…
• Two pendulums of time period 3 s and 8 s respectively starts oscillating simultaneously from two opposite extreme…
• An open organ pipe of length l vibrates in its fundamental mode. The pressure variation is maximum:
• A particle of mass 0.1 kg is executing SHM of amplitude 0.1 m. When the particle passes through the mean position, its…
• Two particles are executing simple harmonic motion of the same amplitude A and frequency along the x–axis. Their mean…
• 60 . A vehicle with a horn of frequency n is moving with a velocity of 30 m/s in a direction perpendicular to the…
• A physical pendulum is positioned so that its centre of gravity is above the suspension point. When the pendulum is…
• A wave frequency 100 Hz is sent along a string towards a fixed end. When this wave travels back, after reflection, a…
• If we do an experiment by swinging a small ball by a thread of length 100 cm, what will be the approximate time for…
• A particle executes simple harmonic motion between x = –A and x = + A. The time taken for it to go from 0 to A/2 is t1…
• If a conservative force is acting on a system in SHM. The total mechanical energy is:
• The equation of y=A ^ 2 [2 n t-2 x ] represents a wave with:
• If we study the vibration of a pipe open at both ends, then, which of the following statement is NOT true?
• Four simple harmonic motions. x1 = 8 sin ωt; x2 = 6 sin (ωt + π/2); x3 = 4 sin (ωt + π) and x4 = 2 sin (ωt + 3π/2) are…
• When two sound waves with a phased difference of / 2 , and each having amplitude A and frequency are superimposed on…
• The graph between velocity and position for a damped oscillation will be:
• A stretched string of length 1m and mass 5 × 10–4 kg, fixed at both ends, is under a tension of 20 N. If it is plucked…
• A train approaches a stationary observer, the velocity of train being 1 20 of the velocity of sound. A sharp blast is…
• Which of the following is not true for the progressive wave y=4 2 ( t 0.02 - x 100 ) Where x and y are in cm and t in…
• A transverse wave propagating along x-axis is represented by: y(x, t)=80 (0.5 x-4 t- 4 ) where, x is in meters and t is…
• The displacement of an object attached to a spring and executing simple harmonic motion is given by x=2 10^ -2 ( t) m…
• The superposition takes place between two waves of frequency f and amplitude A. The total intensity is directly…
• For a particle in SHM, if the amplitude of the displacement is a and the amplitude of velocity is v the amplitude of…
• A source of sound is travelling towards a stationary observer. The frequency of sound heard by the observer is three…
• When the two waves y_ 1 =a ( t) and y_ 2 =a ( t) are superimposed, then resultant amplitude is:
• Out of the following functions representing motion of a particle which represents SHM? (1) y = sin ωt – cos ωt (2) y =…
• A particle of mass m executes SHM along the x-axis according to the equation x =A ( t) . Which of the following…
• For a particle undergoing SHM, the velocity is plotted against displacement. The resulting curve will be
• The time taken by a particle executing S.H.M. of period T to move from the mean position to half the maximum…
• For a particle executing simple harmonic motion, the displacement x is given by x = A sin ωt. Identify the graph, which…
• A body executing SHM has a maximum acceleration of 24 ~m / s ^ 2 and maximum velocity equal to 16 ~m / s ^ -1 . The…
• A progressive wave is given by y=3 2 ( t 0.04 - x 0.01 ) Where x, y are in cm and t in s. The frequency of wave and…
• There are two springs mass systems as shown in the figures. Resistive forces are absent everywhere. Let the time…
• The expression for the motion of block in damped oscillation can be represented as:
• Two particles P and Q are executing SHM across the same straight line whose equations are given as y_ p =A [ t+ _ 1 ]…
• If a spring has time period T, and is cut into n equal parts, then the time period of each part will be
• Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency, and phase. When they superimpose…
• Match the following columns of damped oscillations expressed by x(t)=A e^ -b t / 2 m ( ^ t+ ) , where Column-I…
• A police car with a siren of frequency 8 kHz is moving with uniform velocity of 36 km/h towards a tall building which…
• When a source is going away from a stationary observer with a velocity equal to velocity of sound in air, then the…
• A man measures time period of a simple pendulum inside a stationary lift and find it to be T. If the lift starts…
• What is the ratio of maximum acceleration to the maximum velocity of a simple harmonic oscillator?
• If x denotes the displacement in time t and x=A t , then the acceleration is
• The speed of sound in oxygen (O 2 ) at a certain temperature is 460 m/s. The speed of sound in helium (He) at the same…
• A particle executing SHM has a maximum speed of 30 cm/s and a maximum acceleration of 60 cm/s2. The period of…
• In the figure shown below, the block is moved sideways by a distance A. The magnitude of net force on the block is:
• A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz…
• The distance travelled by the wave pattern in the time required for one full oscillation by any constituent of the…
• A source of sound emits 200 π W power which is uniformly distributed over a sphere of radius 10 m. What is the loudness…
• A string of 5.5 m length has a mass 0.035 kg. If the tension in the string is 77 N, then the speed of wave on the…
• The force constant of a weightless spring is 16 N/m. A body of mass 1.0 kg suspended from it is pulled down through 5…
• Given below are two statements Statement I : Time period of a physical pendulum is independent of mass of the body…
• The intensity level of two sounds are 100 dB and 50 dB. What is the ratio of their intensities?
• In case of a forced vibration, the resonance wave becomes very sharp when the
• An open organ pipe of length l vibrates in its fundamental mode. The displacement variation is maximum:
• Two bodies M and N of equal masses are suspended from two separate massless springs of spring constant k1 and k2…
• The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of…
• Given below are two statements. One is labelled as Assertion and the other is labelled as Reason. A mechanical…
• The distance covered by a particle undergoing SHM in one time period is (amplitude = A),
• For the two curves choose the correct option.
• Two sound waves with wavelength 5.0 m and 5.5 m respectively, each propagate in a gas with velocity 330 m/s. Number of…
• If the length of a closed organ pipe is 1 m and velocity of sound is 330 m/s, then the frequency of 1 st overtone is:
• Given below are two statements. STATEMENT - 1: In a simple harmonic motion, the potential energy can be negative…
• Pendulum after some time becomes slow in motion and finally stops due to:
• If the intensity of sound is doubled, the sound level will increase by
• An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is…
• The time period of a spring mass system shown below is equal to:
• A standing wave is formed on a string fixed at both the ends. The individual waves i.e., incident wave and reflected…
• A stationary boat is rocked by waves whose crests are 100 m apart velocity is 25 m/s. The boat bounces up once in every:
• The power of a sound from the speaker of a radio is 20 mW. By tuning the knob of the volume control, the power of the…
• A particle of mass m moving along the x-axis has a potential energy U(x) = a + bx2 where a and b are positive…
• A simple pendulum performs simple harmonic motion about x = 0 with an amplitude a and time period T. The speed of the…
• Given below are two statements. Statement - 1: A heavy metal sphere is suspended by a spring. When pulled down a little…
• A car is moving towards a high cliff. The driver sounds a horn of frequency f. The reflected sound heard by the driver…
• A spring of force constant k is cut into three equal parts. The force constant of each part would be
• A long string having mass density as 0.01 kg/m is subjected to a tension of 64 N. The speed of the transverse wave on…
• A car sounding its horn at 480 Hz moves towards a high wall at a speed of 20 ms -1 , the frequency of the reflected…
• A particle executing SHM while moving from one extremity is found at distances x 1 , x 2 and x 3 from the center at the…
• The time-period of a SHM represented by a+4 ^ 2 x=0 , where a and x are instantaneous acceleration and displacement…
• A pipe closed at one end produces a fundamental note of 412 Hz. It is cut into two equal lengths, the fundamental notes…
• A stationary point source of sound emits sound uniformly in all directions in a non-absorbing medium. Two points P and…
• Given below are two statements Statement I : Two waves moving in a uniform string having uniform tension cannot have…
• Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental…
• A sinusoidal travelling wave is described by y (x, t) = a sin (kx – ωt + φ), where y(x, t) is the displacement as a…
• The equation y=A ^ 2 (k x-2 t) represents a wave motion
• Average velocity of a particle executing SHM in one complete vibration is:
• The equation which represents a sinusoidal (harmonic) wave travelling along the positive direction of the X-axis is:
• A particle is describing SHM with displacement amplitude A. At time t = 0, its speed is half of the maximum speed. At…
• A uniform wire of length L, diameter D and density S is stretched under a tension T. The correct relation between its…
• If the velocity of sound in air is 336 m/s. The maximum length of a closed pipe that would produce a just audible sound…
• If v m is the velocity of sound in moist air v d is the velocity of sound in dry air, under identical conditions of…
• Two identical springs are connected in series and parallel as shown in the figure. If f s and f p are frequencies of…
• Three sound waves of equal amplitudes have frequencies (f – 1), f, (f + 1). They superpose to give beats. The number of…
• When a damped harmonic oscillator completes 100 oscillations, its amplitude is reduced to 1 3 of its initial value…
• A particle executes simple harmonic motion with a frequency f. The frequency with which its kinetic energy oscillates is
• A siren placed at a railway platform is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A…
• An open pipe is in resonance in 2 nd harmonic with frequency f1 . Now one end of the tube is closed and frequency is…
• In damped oscillation graph between velocity and position will be:
• Column-I has figures showing different modes of oscillation of the system (a string tied at both the ends) and…
• A particle executes SHM between x=-A and x=+A . The minimum time taken for it to go from x = 0 to x = +A/2 is T 1 and…
• The net force acting on the block of mass m is (Resistive for by air = – bv): (here, x is the displacement of the block…
• A metre stick swinging in vertical plane about a fixed horizontal axis passing through its one end undergoes small…
• A body is moving in a room with a velocity of 20 m/s perpendicular to the two walls separated by 5 m. There is no…
• If the block is pulled by a distance x and left, the block will start oscillating. The value of x, so that at a moment…
• A block is in SHM on a frictionless surface as shown in the figure. The position x = 0 shows the unstretched position…
• A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to…
• A source of sound of frequency 600 Hz is placed inside water. The speed of sound in water is 1500 m/s and in air it is…
• How many times more intense is a 90 dB sound than a 40 dB sound.
• An increase in intensity level of 1 dB implies an increase in Intensity of (given antilog10 0.1 = 1.2589)
• Given below are two statements. STATEMENT - 1: The graph of potential energy and kinetic energy of a particle in SHM…
• A block of mass 1 kg hangs without vibrating at the end of a spring whose force constant is 200 N/m and which is…
• The displacement equation of a particle is x = 3 sin 2 t + 4 cos 2 t The amplitude and maximum velocity will be…
• What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of…
• The equation of progressive wave is y=0.2 2 ( t 0.01 - x 0.3 ), where x and y are in metres and t is in seconds. The…
• Wave pulse on a string shown in figure is moving to the right without changing shape. Consider two particles at…
• A simple pendulum is oscillating without damping, as shown in figure. When the displacement of the bob is less than…
• A pipe closed at one end and open at the other end resonates with sound waves of frequencies 135 Hz and 165 Hz but not…
• The displacement of a particle is represented by the equation: y = 3 cos ( 4 -2 t ) The motion of the particle is:
• A source of frequency f gives 5 beats/s when sounded with a frequency 200 Hz. The second harmonic of source gives 10…
• A tuning fork vibrating with a sonometer having 20 cm wire produces 5 beats/s. The beat frequency does not change if…
• Given below are two statements. Statement - 1: The total energy of a particle performing simple harmonic motion could…
• The expression for displacement of an object in SHM is x = A cos (ωt). The potential energy at t= T 2 is (take…
• The equation of a wave travelling on a string is y=4 2 (8 t- x 8 ) if x and y are in centimetres, then velocity of wave…
• A whistle producing sound waves of frequencies 9500 Hz and above is approaching a stationary person with speed v m/s…
• Which of the following equations does not represent a simple harmonic motion?

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