Oscillations and Waves — practice questions

242 curated practice questions from Oscillations and Waves (Physics JEE Advanced, NTA Exams) — 169 hard, 73 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.

• The total length of a sonometer wire between fixed ends is 110 cm. Two bridges are placed to divide the length of wire…
• Two identical straight wires are stretched so as to produce 6 beats per second when vibrating simultaneously. On…
• Two bodies M and N of equal masses are suspended from two separate massless springs of force constants k_ 1 and k_ 2…
• If a particle under S.H.M. has time period 0.1 sec and amplitude 2 × 10–3 m. It has maximum velocity
• A wave moves at a constant speed along a stretched string. Mark the incorrect statement out of the following:
• A tuning fork of frequency 340 Hz is sounded above a cylindrical tube 1 m high. Water is slowly poured into the tube…
• Consider a system of three connected strings, S 1 , S 2 and S 3 with uniform linear mass densities μ kg/m, 4μ kg/m and…
• Transverse wave of amplitude 10 cm is generated at one end (x = 0) of a long string by a tuning fork of frequency 500…
• An object of specific gravity r is hung from a thin steel wire. The fundamental frequency for transverse standing waves…
• A progressive wave in a medium is represented by the equation y=0.1 (10 t- 5 11 x ) where y and x are in cm and t in…
• A equation of plane progressive wave y = A sin ( + kx). Its wrong statement is
• When two tuning forks A and B are sounded together, x beats/sec are heard. Frequency of A is n. Now, when one prong of…
• The angular frequency of the damped oscillator is given by, = ( k m - r^ 2 4 m^ 2 ) where k is the spring constant, m…
• The fundamental frequency of sonometer wire is 600 Hz when length of wire is short by 25%. Now frequency of 1st…
• The length of sonometer wire is 1.8 m. What is wavelength of wave when number of nodes are 10
• The length of a sonometer wire AB is 110 cm. Where should the two bridges be placed from A, to divide the wire in 3…
• The potential energy of a particle of mass 0.1kg, moving along the x-axis, is given by U = 5x(x – 4)J, where x is in…
• A particle executing harmonic motion is having velocities v1 and v2 at distance x1 and x2 from the equilibrium…
• What is the maximum acceleration of the particle doing the SHM y=2 [ t 2 + ], where y is in cm.
• Assertion: Where two vibrating tuning forks having frequencies 256 Hz and 512 Hz are held near each other, beats cannot…
• The extension in a string, obeying Hooke’s law, is x . The speed of sound in the stretched string is v . If the…
• In the experiment for the determination of the speed of sound in air using the resonance column method, the length of…
• A source, approaching with speed u towards the open end of a stationary pipe of length L , is emitting a sound of…
• A train moves towards a stationary observer with speed 34 m/s. The train sounds a whistle and its frequency registered…
• A uniform rod of length L is suspended from a point P and is made to undergo small oscillations. Time period of…
• A 100 g block is connected to a horizontal massless spring of force constant 25.6 N/m. As shown in figure ( a), the…
• Two loudspeakers M and N are located 20 m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car is…
• A rectangular block of mass m and area of cross section A floats on a liquid of density ρ. If it is given a small…
• The time period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle, which moves…
• The potential energy of a particle executing S.H.M. is 2.5 J , when its displacement is half of amplitude. The total…
• A massless rod BD of length L is suspended by two identical strings AB and CD of equal length. A block of mass m is…
• Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B…
• Assertion: Both transverse and longitudinal mechanical waves can propagate in solids but only longitudinal mechanical…
• A particle is executing S.H.M. of amplitude 5 cm and period 6 sec. How long will it take to move from one end of its…
• A wave is incident on fixed target as y=5 2 (t- x 2 ) , the equation of reflected wave through rigid target
• Two simple harmonic motions are represented by the equations y_ 1 =0.1 (100 t+ 3 ) and y_ 2 =0.1 t . The phase…
• An open pipe is in resonance in 2 nd harmonic with frequency f 1 . Now one end of the tube is closed and frequency is…
• The velocity of sound through a diatomic gaseous medium of molecular weight M at 0°C:
• A 100 g block is connected to a horizontal massless spring of force constant 25.6 N/m. As shown in figure (a ), the…
• Two pulses in a stretched string whose centres are initially 8 cm apart are moving towards each other as shown in the…
• A siren placed at a railway platform is emitting sound of frequency 5 kHz. A passenger sitting in a moving train A…
• As shown in the figures, a uniform rod OO ′ of length l is hinged at the point O and held in place vertically between…
• Two vehicles, each moving with speed u on the same horizontal straight road, are approaching each other. Wind blows…
• One end of an ideal spring is fixed to a wall at origin O and the axis of spring is parallel to x-axis. A block of mass…
• A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without…
• A simple pendulum has time period T = 2s is air. If whole arrangement is placed in non-viscous liquid whose density is…
• A wooden cube (density of wood d) of side l floats in a liquid of density ρ with its upper and lower surfaces…
• The intensity level of a sound wave is 4dB. If the intensity of the wave is doubled, then the intensity level of the…
• Two periodic waves of amplitudes a and b pass through a region at the same time and in the same direction. If a > b…
• In the experiment to determine the speed of sound using a resonance column,
• A U tube of uniform bore of cross-sectional area A has been set up vertically with open ends facing up. Now M gm of a…
• A coin is placed on a horizontal platform, which undergoes vertical simple harmonic motion of angular frequency . The…
• A sound has an intensity of 2 × 10–8 Wm–2. Its intensity level in decibels is: (log10 2 = 0.3)
• Particle displacements (in cm) in a standing wave are given by y (x, t) = 2 sin (0.1 x) cos (100 t). The distance…
• A massless rod is pivoted at point O. A string carrying a mass m at one end is attached to the point A on the rod. The…
• A tube closed at one end and containing air produces, when excited, the fundamental note of frequency 512 Hz. If the…
• Two sounds waves have intensities 100W/m2 and 400W/m2 respectively. The later sound is
• A small block of mass m is fixed at upper end of a massive vertical spring of spring constant k = 4 mg/L and natural…
• Velocity of sound in air is 320 m/s. A pipe closed at one end has a length of 1 m. Neglecting end corrections, the air…
• A string of length 0.4 m and mass 10 –2 kg is tightly clamped as its ends. The tension in the string is 1.6 N…
• A transverse sinusoidal wave of amplitude a , wavelength λ and frequency f is travelling on a stretched string. The…
• The velocity of sound in air is 332 m/s. If the air consists of nitrogen and oxygen in the ratio 4 : 1, the velocity of…
• When temperature increases, the frequency of a tuning fork
• The x-t graph of a particle undergoing simple harmonic motion is shown below. The acceleration of the particle at t =…
• Two waves represented by the following equations are travelling in the same medium y1 = 5 sin 2π (75t – 0.25 x), y2 =…
• The vertical motion of a ship at sea is described by the equation d^ 2 x d x^ 2 =-4 x , where x is the vertical height…
• The displacement time equation of a particle executing SHM is: x=A (t+ ) . At time t = 0 position of the particle is x=…
• In arrangement given in figure, if the block of mass m is displaced, the frequency is given by
• A person blows into open-end of a long pipe. As a result, a high-pressure pulse of air travels down the pipe. When this…
• When two sound waves with a phase difference of 2 , and each having amplitude A and frequency ω, are superimposed on…
• The equation of wave y = 5 2 (t- x 2 ) where displacement is in cm and time in sec. The phase angle between two…
• A train approaching a hill at a speed of 40 km/hr sounds a whistle of frequency 580 Hz when it is at a distance of 1 km…
• Two stretched strings of same material are vibrating under the same tension in fundamental mode. The ratio of their…
• Transverse waves are produced in a long string by attaching its free end to a vibrating tuning fork. Figure below shows…
• A uniform rod of length L and mass M is pivoted at the centre. Its two ends are attached to two springs of equal spring…
• A pipe of length l 1 , closed at one end is kept in a chamber of gas of density r 1 . A second pipe open at both ends…
• An organ pipe closed at one end is excited to support the third overtone. It is found that air in the pipe has
• In the above question a wind starts blowing in the direction from the engine to the platform with a speed of 10 ms -1 …
• One end of an ideal spring is fixed to a wall at origin O and the axis of spring is parallel to x-axis. A block of mass…
• For a particle executing simple harmonic motion, which of the following statements is not correct
• Waves y_ 1 =A (0.5 x-100 t) and y_ 2 =A (0.46 x-92 t) are travelling along x -axis. (Here x is in m and t in second)…
• The potential energy of a harmonic oscillator of mass 2 kg in its mean position is 5J. If its total energy is 9J and…
• A student is performing the experiment of Resonance Column. The diameter of the column tube is 4 cm. The frequency of…
• Maximum velocity in SHM is V _ m . The average velocity during motion from one extreme point to the other extreme point…
• Velocity at mean position of a particle executing SHM is v. Velocity of the particle at a distance equal to half of the…
• Standing waves are produced by the superposition of two waves y1 = 0.05 sin (3t – 2x) and y2 = 0.05 sin (3t + 2x) where…
• Three masses 700 g , 500 g , and 400 g are suspended at the end of as spring as shown and are in equilibrium. When the…
• A transverse sinusoidal wave moves along a string in the positive x -direction at a speed of 10 cm/s. The wavelength of…
• One end of a long metallic wire of length L is tied to the ceiling. The other end is tied to a massless spring of…
• One end of a spring of force constant k is fixed to a vertical wall and the other to a body of mass m resting on a…
• 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 T…
• An organ pipe P1, closed at one end vibrating in its first harmonic and another pipe P2, open at both ends vibrating in…
• A rectangular block of mass m and area of cross-section A floats in a liquid of density . If it is given small vertical…
• A 100 g block is connected to a horizontal massless spring of force constant 25.6 N/m. As shown in figure (a ), the…
• A sound wave of frequency f travels horizontally to the right. It is reflected from a large vertical plane surface…
• A 100 g block is connected to a horizontal massless spring of force constant 25.6 N/m. As shown in figure (a ), the…
• The metallic bob of a simple pendulum has the relative density . The time period of this pendulum is T . If the…
• A knife–edge divides a sonometer wire into two parts. The fundamental frequencies of the two parts are f 1 and f 2. The…
• The fundamental frequency of open organ pipe is f when it filled with one–fourth length with water now frequency will be
• A police car moving at 22 m/s, chases a motorcyclist. The police man sounds his horn at 176 Hz, while both of them move…
• On a smooth inclined plane, a body of mass M is attached between two springs. The other ends of the springs are fixed…
• A train standing at a certain distance from a railway platform is blowing a whistle of frequency 500 Hz. If the speed…
• A particle executes simple harmonic motion with a frequency f . The frequency with which its kinetic energy oscillates…
• A car sounding its horn at 480 Hz moves towards a high wall at a speed of 20 m/s. If the speed of sound is 340 m/s–1…
• A string is stretched between fixed points separated by 75 cm. It is observed to have resonant frequencies of 420 Hz…
• A small block of mass m is fixed at upper end of a massive vertical spring of spring constant k = 4 mg/L and natural…
• One end of an ideal spring is fixed to a wall at origin O and the axis of spring is parallel to x-axis. A block of mass…
• Under the same conditions of pressure and temperature, the velocity of sound in oxygen and hydrogen gases are v0 and vH…
• A wave equation which gives the displacement along the y -direction is given by y = 10 –4 sin(60 t + 2 x ) where x and…
• A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean…
• One end of a taut string of length 3 m along the x -axis is fixed at x = 0. The speed of the waves in the string is 100…
• A wave disturbance in a medium is described by where x and y are in metre and t is in second.
• An organ pipe, open from both ends produces 5 beats/s when vibrated with a source of frequency 200 Hz in its…
• Two loudspeakers A and B, 1.0 m apart, produce sound waves of the same wavelength and in the same phase. A sensitive…
• A hollow pipe of length 0.8 m is closed at one end. At its open end a 0.5 m long uniform string is vibrating in its…
• A point mass is subjected to two simultaneous sinusoidal displacements in x -direction, x 1 ( t ) = A sinω t and x_ 2…
• A particle is attached to a vertical spring and is pulled down a distance 0.04 m below its equilibrium position and is…
• A particle is vibrating in a simple harmonic motion with amplitude 4 cm. At what distance from the equilibrium is its…
• A motorcycle starts from rest and accelerates along a straight line at 2.2 m/s2 . At the starting point of the…
• The mass M shown in the figure oscillates in simple harmonic motion with amplitude A . The amplitude of the point P is…
• A long string having a cross-sectional area 0.80 mm 2 and density 12.5 g/cm 3 is subjected to a tension of 64 N along…
• A mass m is suspended from a spring of force constant k and just touches another identical spring fixed to the floor as…
• The speed of sound in oxygen ( O_ 2 ) at a certain temperature is 460 ~ms ^ -1 . The speed of sound in helium (He) at…
• The speed of sound in a gas is v and the root mean square speed of gas molecules is vrms If the ratio of the specific…
• A block of mass m, attached to a fixed position O on a smooth inclined wedge of mass M, oscillates with amplitude A and…
• An equation of plane progressive wave y= a 2 3 (t- x b ) . If maximum velocity of particle and velocity of wave are…
• The friction coefficient between two blocks of masses 1 kg and 4 kg shown in figure is μ and the horizontal plane…
• A spring of force constant 200 N/m is mounted as shown in figure and a mass 2 kg is attached to the free end. If the…
• A uniform cylinder of length L and mass M having cross- sectional area A is suspended, with its length vertical, from a…
• A uniform rope of mass 0.1 kg and length 2.45 m hangs from a ceiling. The time taken by a transverse wave to travel the…
• A whistle giving out 450 Hz approaches a stationary observer at a speed of 33 m/s. The frequency heard by the observer…
• 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 cm…
• A closed organ pipe and an open organ pipe of same length produce 2 beats when they are set into vibrations…
• A train blowing its whistle moves with a constant velocity u away from the observer on the ground. The ratio of the…
• Two whistles A and B have frequencies 660 Hz and 590 Hz respectively. An observer is standing in the middle of line…
• In SHM for how many times potential energy is equal to kinetic energy during one complete period?
• When a wave travels in a medium, the particle displacements are given by y (x, t) = 0.03 sin (2t – 0.01 x) where y and…
• Two vibrating strings of the same material but lengths L and 2 L have radii 2 r and r respectively. They are stretched…
• Two particles are executing SHM in a straight line. Amplitude A and time period T of both the particles are equal. At…
• The displacement of particles in a string stretched in the x -direction is represented by y . Among the following…
• The ( x, y ) co-ordinates of the corners of a square plate are (0, 0), ( L , 0) ( L, L ) and (0, L ). The edges of the…
• Two masses m1 and m2 are suspended together by a light spring of spring constant k as shown in the figure. When the…
• A body is in simple harmonic motion with time period half second (T = 0.5 s) and amplitude one cm (A = 1 cm). Find the…
• The ratio of frequencies of two pendulums are 2:3, then their length are in ratio
• An organ pipe P 1 closed at one end vibrating in its first harmonic and another pipe P 2 open at ends vibrating in its…
• Two organ pipes A and B are closed and open respectively. Third overtone of each are unison. The ratio of their length…
• Assertion: Sound would travel faster on a hot summer day than on a cold winter day. Reason: Velocity of sound is…
• A source of sound vibrates according to the equation y = 0.05 cos π t. It sends out waves of velocity 1.5 m/s. The wave…
• A spring has a natural length of 50 cm and a force constant of 2.0 × 103 Nm–1. A body of mass 10 kg is suspended from…
• A bat flying above a lake emits ultrasonic sound of 100 kHz. When this wave falls on the water surface, it is partly…
• The function x = A sin 2 ω t + B cos 2 ω t + C sinω t cosω t represents simple harmonic motion for which of the…
• The displacement y of a particle executing periodic motion is given by y=4 ^ 2 ( 1 2 t ) (1000 t) . This expression may…
• Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each…
• An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is…
• A uniform cylinder of length L and mass M having cross-sectional area A is suspended with its length vertical from a…
• A tuning fork of frequency 100 when sound together with another tuning fork of unknown frequency produces 2 beats/s. On…
• Two uniform strings of mass per unit length μ and 4μ, and length L and 2 L , respectively, are joined at point O , and…
• Four massless springs whose force constants are 2k, 2k, k and 2 k respectively are attached to a mass M kept on a…
• A particle of mass 0.10 kg executes SHM with an amplitude 0.05 m and frequency 20 Hz. Its energy of oscillation is…
• The maximum acceleration of a particle in SHM is made two times keeping the maximum speed to be constant. It is…
• The equation of motion of a particle executing simple harmonic motion is a+16 p^ 2 x=0 . In this equation, a is the…
• A particle moves with simple harmonic motion in a straight line. In first τs, after starting from rest it travels a…
• Assertion (A): Water in a U-tube executes SHM, the time period for mercury filled upto the same height in the U-tube bc…
• The amplitude of a wave disturbance propagating along positive x-axis is given by y= 1 1+x^ 2 at t = 0 and y= 1…
• A horizontal rod of mass m and length L is pivoted smoothly at one end. The rod’s other end is supported by a spring of…
• Assertion: The phase difference between two medium particles having a path difference is 2 . Reason: The phase…
• A simple pendulum has time period T 1 . The point of suspension is now moved upward according to the relation y = Kt 2…
• A string fixed at both ends is vibrating in the lowest mode of vibration for which a point at quarter of its length…
• A small block of mass m is fixed at upper end of a massive vertical spring of spring constant k = 4 mg/L and natural…
• A particle of mass m is attached to one end of a mass-less spring of force constant k , lying on a frictionless…
• A particle of mass 0.1 kg executes SHM under a force F = (–10x) Newton. Speed of particle at mean position is 6 m/s…
• A body of mass 0.01 kg executes simple harmonic motion (S.H.M.) about x = 0 under the influence of a force shown below…
• A particle moves according to the law x = a cos t 2 . The distance covered by it in the time interval between t = 0 to…
• The ends of a stretched wire of length L are fixed at x = 0 and x = L . In one experiment, the displacement of the wire…
• A linear harmonic oscillator of force constant 2 × 10 6 N/m and amplitude 0.01 m has a total mechanical energy of 160…
• In a wave motion y = a sin ( kx – w t ), y can represent
• The displacement of the particle from its mean position (in metre) is given by y = 0.2 sin (10πt + 1.5π) cos (10πt +…
• An observer A is moving directly towards a stationary sound source while another observer B is moving away from the…
• Two parts of a sonometer wire, divided by a movable knife–edge, differ in length by 1 cm and produce 1 beat per second…
• A train approaching a hill at a speed of 40 km/hr sounds a whistle of frequency 580 Hz when it is at a distance of 1 km…
• A particle is executing simple harmonic motion with a period of T seconds and amplitude a metre. The shortest time it…
• A particle of mass 0.1 kg is executing SHM of amplitude 0.1 m. When the particle passes through the mean position, its…
• Assertion (A): All oscillatory motions are necessarily periodic motion, but all periodic motions are not oscillatory…
• A particle is subjected to two simple harmonic motions along x and y directions according to x = 3 sin 100 πt and y =…
• If the temperature of the gaseous medium drops by 1%, the velocity of sound in that medium:
• The particle displacement in a travelling harmonic wave is given by y (x, t) = 2.0 cos2(10t – 0.008x + 0.35) where x…
• A metal wire of diameter 1 mm is held on two knife edges separated by a distance of 50 cm. The tension in the wire is…
• The following figure depicts a circular motion. The radius of the circle, the period of revolution, the initial…
• For a transverse wave on a string, the string displacement is described by y = (x, t) = f(x – at) where f represents a…
• A whistle emitting a sound of frequency 440 Hz is tied to a string of 1.5 m length and rotated with an angular velocity…
• A pipe of length 20 cm is open at both ends. Which harmonic mode of the pipe is resonantly excited by a 1700 Hz source?…
• A particle of mass m is executing simple harmonic oscillations about the origin on the x-axis. Its potential energy is…
• A tube closed at one end containing air, produces, when excited, the fundamental note of frequency 512 Hz. If the tube…
• For a particle executing SHM the displacement x is given by x = A cosω t . Identify the graph which represents the…
• A block ( B ) is attached to two unstretched springs S 1 and S 2 with spring constants k and 4 k , respectively (see…
• Two independent harmonic oscillators of equal mass are oscillating about the origin with angular frequencies ω 1 and ω…
• Assertion (A): The percentage change in time period is 1.5%. If the length of simple pendulum increases by 3%. Reason…
• 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…
• A train approaching a hill at a speed of 40 km/hr sounds a whistle of frequency 580 Hz when it is at a distance of 1 km…
• The power of a sound from the speaker of a radio is 20 mW. By turning the knob of the volume control, the power of the…
• Two waves are passing through a region in the same direction at the same time. If the equation of these waves are: _ 1…
• A long string having a cross-sectional area 0.80 mm 2 and density 12.5 g/cm 3 is subjected to a tension of 64 N along…
• Assertion (A): In extreme position of a particle executing S.H.M., both velocity and acceleration are zero. Reason (R)…
• The extension in a string, obeying Hooke’s law, is x. The speed of the wave in the stretched string is v. If the…
• Two bodies M and N of equal masses are suspended from two separate massless springs of spring constants k 1 and k 2…
• A particle free to move along the x -axis has potential energy given by U ( x ) = k [1 – exp(– x 2 )] for – ∞ ≤ x ≤ + ∞…
• One end of a spring of force constant k is fixed to a vertical wall and the other to a block of mass m resting on a…
• A transverse wave is represented by the equation y=y_ 0 2 (r t-x) for what value of , the maximum particle velocity is…
• The period of oscillation of a simple pendulum of length L suspended from the roof of a vehicle which moves without…
• A wave equation which gives the displacement along Y-direction is given by y=10^ -4 [ (60 t+20 x)] where x and y are in…
• A simple harmonic motion is represented by x (t) = 10 sin (20 t + 0.5). The amplitude (A) of the S.H.M. is
• A long string having a cross-sectional area 0.80 mm 2 and density 12.5 g/cm 3 is subjected to a tension of 64 N along…
• A string of length 1 m has the mass per unit length 0.1 g cm–1. What would be the fundamental frequency of vibrating of…
• A particle of mass m executes simple harmonic motion with amplitude a and frequency . The average kinetic energy during…
• A simple pendulum is oscillating without damping. When the displacement of the bob is less than maximum, its…
• The displacement of a particle moving in S.H.M. at any instant is given by y=a t . The acceleration after time t= T 4…
• A certain simple harmonic vibrator of mass 0.1 kg has a total energy of 10 J. Its displacement from the mean position…
• Two organ pipes, each closed at one end, give 5 beats per second when emitting their fundamental notes. If their…
• The distance between two consecutive crests in a wave train produced in string is 5 cm. If two complete waves pass…
• If E > and U > denote the average kinetic and the average potential energies respectively of mass describing a simple…
• m1 and m2 are connected with a light inextensible string with m1 lying on smooth table and m2 hanging as shown in…
• A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation, y ( x…
• The acceleration a of a particle undergoing SHM is shown in the figure. Which of the labelled points corresponds to the…
• In the figure, the block of mass m, attached to the springs of stiffness k is in contact with the completely elastic…
• A block M hangs vertically at the bottom end of a uniform rope of constant mass per unit length. The top end of the…
• A 100 g block is connected to a horizontal massless spring of force constant 25.6 N/m. As shown in figure (a ), the…
• Figure shows a stationary wave between two fixed point P and Q. Which point(s) of 1,2 and 3 are in phase with the point…
• A wave is represented by the equation y=A (10 x+15 t+ 3 ) where x is in metre and t is in second. The expression…
• An air column in a pipe, which is closed at one end, will be in resonance with a vibrating tuning fork of frequency 264…
• A sonometer wire resonates with a given tuning fork forming standing waves with five antinodes between the two bridges…
• Frequency of a particle executing SHM is 10 Hz. The particle is suspended from a vertical spring. At the highest point…
• A long string having a cross-sectional area 0.80 mm 2 and density 12.5 g/cm 3 is subjected to a tension of 64 N along…
• A mass M = 5 kg is attached to a spring a shown in the figure and held in position, so that the spring remains…
• Two sound waves of the same frequency have respective amplitudes of 3 units and 1 unit and are travelling in opposite…
• A wave represented by the equation y = a cos( kx – ω t ) is superposed with another wave to form a stationary wave such…
• A travelling wave in a stretched string is described by the equation y = A sin ( kx – ω t ). The maximum particle…
• The variation of the acceleration a of the particle executing S.H.M. with displacement x is as shown in the figure.
• A transverse wave is described by the equation The maximum particle velocity is equal to four times the wave velocity if
• Assertion: Compression and rarefaction involve changes in density and pressure. Reason: When particles are compressed…
• A particle of mass m is executing oscillations about the origin on the x -axis. Its potential energy is V ( x ) = k | x…
• Four wires of identical length, diameters and of the same material are stretched on a sonometer wire. If the ratio of…
• Two closed pipes produce 10 beats/s when emitting their fundamental nodes. If their length are in ratio of 25 : 26 …

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