JEE Main Physics — Waves & Oscillations previous year questions with solutions.
The displacement of a particle executing SHM is given by $x=10 \sin \left(w t+\frac{\pi}{3}\right) m$. The time period of motion is $3.14 \mathrm{~s}$. The velocity of the particle at $t=0$ is ______$\mathrm{m} / \mathrm{s}$.
The speed of sound in oxygen at S.T.P. will be approximately: (Given, $R=8.3J{K}^{-1},\gamma =1.4)$
The time period of simple harmonic motion of mass $M$ in the given figure is $\pi \sqrt{\frac{\alpha M}{5K}}$, where the value of $\alpha$ is _______. 
A rectangular block of mass $5\mathrm{kg}$ attached to a horizontal spiral spring executes simple harmonic motion of amplitude $1m$ and time period $3.14s$. The maximum force exerted by spring on block is ___ $N$.
A particle executes simple harmonic motion between $x=–A\text{and}x=+A$. If time taken by particle to go from $x=0$ to $\frac{A}{2}$ is $2s$; then time taken by particle in going from $x=\frac{A}{2}$ to $A$ is:
A mass $m$ attached to free end of a spring executes SHM with a period of $1s$. If the mass is increased by $3\mathrm{kg}$ the period of oscillation increases by one second, the value of mass $m$ is ________ $\mathrm{kg}$.
A simple pendulum with length $100\mathrm{cm}$ and bob of mass $250g$ is executing S.H.M of amplitude $10\mathrm{cm}$. The maximum tension in the string is found to be $\frac{x}{40}N$. The value of $x$ is _____.
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 $405\mathrm{Hz}$ and the speed of sound in air is $324m{s}^{–1}$ the length of the organ pipe is _____ $m$.
The distance between two consecutive points with phase difference of $60^{\circ}$ in a wave of frequency $500\mathrm{Hz}$ is $6.0m$. The velocity with which wave is travelling is ______ $\mathrm{km}{s}^{-1}$.
A wire of density $8\times {10}^{3}\mathrm{kg}{m}^{-3}$ is stretched between two clamps $0.5m$ apart. The extension developed in the wire is $3.2\times {10}^{-4}m$. If $Y=8\times {10}^{10}N{m}^{-2}$, the fundamental frequency of vibration in the wire will be _____ $\mathrm{Hz}$
A particle executes SHM of amplitude$A$. The distance from the mean position when its kinetic energy becomes equal to its potential energy is:
Match List I with List II <table class="pyq-table"><tbody><tr><td></td><td>List I</td><td></td><td>List II</td></tr><tr><td>A</td><td>Troposphere</td><td>I</td><td>Approximate $65-75\mathrm{km}$ over Earth’s surface</td></tr><tr><td>B</td><td>E-Part of Stratosphere</td><td>II</td><td>Approximate $300\mathrm{km}$ over Earth’s surface</td></tr><tr><td>C</td><td>${F}_{2}$-Part of Thermosphere</td><td>III</td><td>Approximate $10\mathrm{km}$ over Earth’s surface</td></tr><tr><td>D</td><td>D-Part of Stratosphere</td><td>IV</td><td>Approximate $100\mathrm{km}$ over Earth’s surface</td></tr></tbody></table>Choose the correct answer from the options given below :
The displacement equations of two interfering waves are given by ${y}_{1}=10\mathrm{sin}(\omega t+\frac{\pi }{3})\mathrm{cm}$, ${y}_{2}=5[\mathrm{sin}(\omega t)+\sqrt{3}\mathrm{cos}\omega t]\mathrm{cm}$ respectively. The amplitude of the resultant wave is _____ $\mathrm{cm}$.
A travelling wave is described by the equation $y(x,t)=[0.05\mathrm{sin}(8x-4t)]m$. The velocity of the wave is: [All the quantities are in SI unit]
Two tuning forks A and B produce 4 beats per second. Fork A has frequency 256 Hz. When B is loaded with wax, beats become 6 per second. The frequency of B is:
For a solid rod, the Young's modulus of elasticity is $3.2\times {10}^{11}N{m}^{-2}$ and density is $8\times {10}^{3}\mathrm{kg}{m}^{-3}$. The velocity of longitudinal wave in the rod will be
At a given point of time the value of displacement of a simple harmonic oscillator is given as $y=A\mathrm{cos}(30^{\circ}).$ If amplitude is $40\mathrm{cm}$ and kinetic energy at that time is $200J,$ the value of force constant $1.0\times {10}^{x}N{m}^{–1}$. The value of $x$ is _____.
Choose the correct length $(L)$ versus square of time period $({T}_{2})$ ) graph for a simple pendulum executing simple harmonic motion.
A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be
A transverse harmonic wave on a string is given by $y(x,t)=5\mathrm{sin}(6t+0.003x)$ where $x$ and $y$ are in $\mathrm{cm}$ and $t$ in $\mathrm{sec}$. The wave velocity is _________ $m{s}^{-1}$.
In the figure given below. a block of mass $M=490g$ placed on a frictionless table is connected with two springs having same spring constant ($K=2N{m}^{-1}$). If the block is horizontally displaced through $X$ $m$ then the number of complete oscillations it will make in $14\pi$ seconds will be ______. 
The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement ($x$) starting from mean position to extreme position ($A$) is given by
Two simple harmonic waves having equal amplitudes of $8\mathrm{cm}$ and equal frequency of $10\mathrm{Hz}$ are moving along the same direction. The resultant amplitude is also $8\mathrm{cm}$. The phase difference between the individual waves is _____ degree.
In a linear Simple Harmonic Motion (SHM) (A) Restoring force is directly proportional to the displacement. (B) The acceleration and displacement are opposite in direction. (C) The velocity is maximum at mean position. (D) The acceleration is minimum at extreme points. Choose the correct answer from the options given below: