JEE Advanced Waves & Oscillations — practice questions
91 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Advanced Waves & Oscillations in the app →In an ideal pendulum oscillating without air resistance, which quantity remains constant?A $5$ kg block rests on a frictionless horizontal surface. A constant horizontal force of $20$ N is applied toA person of mass $60$ kg stands on a weighing scale in a lift. The lift accelerates upward at $2$ m/s². What iA block of mass $10$ kg slides down an inclined plane that makes an angle of $37°$ with the horizontal. The coTwo blocks of masses $3$ kg and $5$ kg are connected by a light inextensible string passing over a smooth pullA $2$ kg block is pressed against a vertical wall by a horizontal force $F$. The coefficient of static frictioA monkey of mass $30$ kg climbs a vertical rope hanging from the ceiling with an upward acceleration of $2$ m/Unpolarised light of intensity $I_0$ is passed through a single ideal polariser. The intensity of the transmitPlane-polarised light is incident on an analyser. If the angle between the polarisation direction of the lightBrewster's angle for a glass of refractive index $ qrt{3}$ (relative to air) is:In a Young's double slit setup, the intensities arriving at a point from the two slits are $I$ and $4I$. The rThe central bright fringe in a YDSE pattern with white light is white, but the immediately adjacent fringes arNewton's FIRST law is also called the law of:Newton's SECOND law states:The SI unit of force is the:Frictional force between surfaces ALWAYS acts:Static friction f_s satisfies:Kinetic friction f_k is given by:For a body on a horizontal surface, the NORMAL FORCE N equals:In circular motion at radius r and speed v, the centripetal acceleration is:The ANGLE OF REPOSE φ is related to coefficient of friction by:A 5 kg object experiences a net force of 20 N. Find its acceleration:A 10 kg block on rough horizontal surface with μ_s = 0.3 just starts moving. Force applied:A block of mass 2 kg on a smooth incline at 30°. Acceleration down the incline (g = 10):A 1500 kg car accelerates from 0 to 30 m/s in 10 s. Average force on car:In a tug-of-war, team A pulls with 200 N, team B pulls oppositely with 250 N. The rope (light) experiences netNewton's THIRD law pair: when you push a wall, the wall pushes you. These forces:A block of mass 5 kg on a rough incline at 37° with μ_k = 0.4. Acceleration down (g = 10, sin 37° = 0.6, cos 3For a body on a 60° incline with μ = 0.5, the body:Two blocks: 3 kg ON TOP of 5 kg, μ between them = 0.5. The 5 kg block on smooth floor. Horizontal force F = 20An object's WEIGHT on Earth (g = 10) is 50 N. Its MASS is:A 5 kg block is pushed with 30 N along a frictionless surface. Acceleration:A massless pulley system has two blocks: m₁ = 6 kg and m₂ = 4 kg hanging on either side. Find acceleration of The angle of repose between a block and an incline is 30°. The coefficient of static friction is:A 100 g object is moving in a vertical circle. At the TOP of the loop, for minimum speed (string just slack), Limiting (max static) friction is INDEPENDENT of:A 2 kg block on rough incline at 45° with μ = 0.3. Determine if it stays at rest (g = 10, sin 45° = cos 45° = A 4 kg mass hangs from a spring scale in an elevator. Spring reads 32 N. The elevator is:A 3 kg block is pulled with F = 20 N at 30° above horizontal on rough surface (μ_k = 0.4). Find acceleration (In a uniform circular motion, the SPEED is constant but velocity changes direction. The acceleration:A car turns a corner of radius 50 m at 20 m/s. Minimum coefficient of friction needed (g = 10):A 50 kg person stands on a scale in an elevator accelerating UP at 2 m/s². Scale reading:Two equal masses (3 kg each) connected by a light string over a frictionless pulley. One on smooth horizontal A pendulum of mass m swings to amplitude angle θ. At the lowest point of swing, the TENSION in the string equaA car of mass 1000 kg moving at 36 km/h is stopped by brakes in 5 seconds. Average force exerted by brakes:Using dimensional analysis, find the correct relation for time period $T$ of a simple pendulum:Newton's first law of motion is also known as the law ofA cricket ball of mass 150 g moving at (3i+4j) m/s is hit to -(3i+4j) m/s. The magnitude of momentum change isConservation of linear momentum in a collision follows directly fromA force F acts on a 2 kg body for 3 s, changing its speed from 2 m/s to 8 m/s along the line of F. The magnituThe maximum static friction force on a body is f = μN. Static friction is best described asA 10 kg block on a frictionless surface is pulled by 20 N horizontally and 20 N at 60° above horizontal. The hImpulse equalsA body in equilibrium under several forces hasA 0.5 kg ball hits a wall at 10 m/s and rebounds at 10 m/s. The impulse on the ball isNewton's second law in vector form isA lift accelerates upward at 2 m/s². The apparent weight of a 50 kg person (g=10) isTwo blocks of 2 kg and 3 kg connected by a string are pulled by 10 N on the 3 kg block (frictionless). The accThe SI unit of force, the newton, equalsPer NCERT §4.5, the dimensions of FORCE are which set?Per NCERT §4.5, for a body of constant mass, the second law reduces to which form?Per NCERT §4.7, the total momentum of an ISOLATED system (no external force) is which?Per NCERT §4.6 (action and reaction labelling), which statement about the labels is true?Per NCERT §4.9.1, KINETIC (sliding) friction is approximately given by which relation?Per NCERT §4.9.1, the coefficients of static and kinetic friction satisfy which order?Per NCERT Example 4.7, the MAXIMUM acceleration of a train such that a box on its floor (μ_s = 0.15) remains sPer NCERT Example 4.10, a cyclist taking a R=3 m turn at 18 km/h (μ_s = 0.1) is in which condition?A gun of mass $4$ kg fires a bullet of mass $0.04$ kg at $300$ m/s. Recoil speed of the gun is:A pendulum bob oscillates as $x(t) = 0.05\cos(2\pi t)$ in metres. Its amplitude and period are:A spring of constant $k = 100$ N/m carries a mass of $1$ kg. Its period of oscillation is:A simple pendulum's length is increased four times. Its period changes by a factor of:A child's swing is pushed gently at its natural frequency and the amplitude grows large. This phenomenon is caA wave on a lake has wavelength $4$ m and frequency $0.5$ Hz. Its speed is:A string of mass per unit length $\mu = 0.01$ kg/m is under tension $T = 100$ N. Wave speed on it is:Two tabla drums sound at $256$ Hz and $260$ Hz simultaneously. The beat frequency heard is:An autorickshaw with horn at frequency $f_0$ moves toward a stationary listener. The listener hears a frequencA wave traveling in the +x direction with amplitude A, angular frequency ω and wavenumber k has displacement gThe speed of a transverse wave on a string of linear mass density μ under tension T isThe speed of sound in a gas is v = √(γP/ρ). This is theTwo waves y₁ = A sin(kx − ωt) and y₂ = A sin(kx − ωt + φ) superpose. The resulting amplitude isThe frequency of beats when two waves of frequencies 512 Hz and 508 Hz superpose isA wave has speed 340 m/s and frequency 850 Hz. Its wavelength isLongitudinal waves are best exemplified byWhen a wave is reflected from a rigid boundary (fixed end of a string), the reflected wave undergoesThe speed of light in vacuum isTwo waves overlap to produce a standing wave on a string. The nodes are points whereThe fundamental frequency of a vibrating string of length L, tension T, linear density μ isThe wave equation y = 0.05 sin(20πx − 100πt) SI units. The wave speed isFor a longitudinal wave in air, the excess pressure and displacement are related such thatNewton's formula for the speed of sound in air (assuming isothermal process) predicted a value about 15% lowerIf a source emits sound of frequency 500 Hz and moves at 20 m/s toward a stationary observer (speed of sound 3