NEET UG Physics — Waves & Oscillations previous year questions with solutions.
The number of possible natural oscillations of air column in a pipe closed at one end of length $85 cm$ whose frequencies lies below $1250 Hz$ are: (velocity of sound $=340 {ms}^{-1}$)
A source of unknown frequency gives 4 beats/s when sounded with a source of known frequency $250 \mathrm{~Hz}$. The second harmonic of the source of unknown frequency gives five beats per second when sounded with a source of frequency $513 \mathrm{~Hz}$. The unknown frequency is
The length of the wire between two ends of sonometer is $100 \mathrm{~cm}$. What should be the positions of two bridges below the wire so that the three segments of the wire have their fundamental frequencies in the ratio $1: 3: 5$.
If we study the vibration of a pipe open at both ends, then the following statements is not true
A wave travelling in the positive $x$-direction having displacement along $y$-direction as $1 \mathrm{~m}$, wavelength $2 \pi \mathrm{m}$ and frequency of $\frac{1}{\pi} \mathrm{Hz}$ is represented by
A particle of mass $m$ oscillates along $x$-axis according to equation $x=a$ sin $\omega t$. The nature of the graph between momentum and displacement of the particle is:
Two source $\mathrm{P}$ and $\mathrm{Q}$ produce notes of frequency $660 \mathrm{~Hz}$ each. A listener moves from $\mathrm{P}$ to $\mathrm{Q}$ with a speed of $1 \mathrm{~ms}^{-1}$. If the speed of sound is $330 \mathrm{~m} / \mathrm{s}$, then the number of beats heard by the listener per second will be:
Two sources of sound placed close to each other, are emitting progressive waves given by $y_1=4 \sin 600 \pi t \text { and } y_2=5 \sin 608 \pi t$ An observer located near these two sources of sound will hear
The equation of a simple harmonic wave is given by $$ y=3 \sin \frac{\pi}{2}(50 t-x) $$ where $x$ and $y$ are in metres and $t$ is in seconds. The ratio of maximum particle velocity to the wave velocity is
When a string is divided into three segments of lengths $l_1, l_2$ and $l_3$, the fundamental frequencies of these three segments are $v_1$, $v_2$ and $v_3$ respectively. The original fundamental frequency $(v)$ of the string is
Out of the following functions representing motion of a particle which represents SHM I. $y=\sin \omega t-\cos \omega t$ II. $y=\sin ^3 \omega t$ III. $y=5 \cos \left(\frac{3 \pi}{4}-3 \omega t\right)$ IV. $y=1+\omega t+\omega^2 t^2$
Two identical piano wires kept under the same tension $T$ have a fundamental frequency of $600 \mathrm{~Hz}$. The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beat/s when both the wires oscillate together would be
A particle of mass $m$ is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time? 
Two waves are represented by the equations $y_1=a \sin (\omega t+k x+0.57) \mathrm{m}$ and $y_2=a \cos (\omega t+k x) \mathrm{m}$, where $x$ is in metre and $t$ in second. The phase difference between them is
Two particle are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
Sound waves travel at $350 \mathrm{~m} / \mathrm{s}$ through a warm air and at $3500 \mathrm{~m} / \mathrm{s}$ through brass. The wavelength of a $700 \mathrm{~Hz}$ acoustic wave as it enters brass from warm air
A transverse wave is represented by $y=A \sin (\omega t-k x)$. For what value of the wavelength is the wave velocity equal to the maximum particle velocity?
The displacement of a particle along the $x$ axis is given by $\mathrm{x}=\mathrm{a} \sin ^2 \omega \mathrm{t}$. The motion of the particle corresponds to
A tuning fork of frequency $512 \mathrm{~Hz}$ makes 4 beats/seconds with the vibrating string of a piano. The beat frequency decreases to 2 beats/s when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was
A particle moves in $x-y$ plane according to rule $\mathrm{x}=\mathrm{a} \sin \omega \mathrm{t}$ and $\mathrm{y}=\mathrm{a} \cos \omega \mathrm{t}$. The particle follows
The period of oscillation of a mass $M$ suspended from a spring of negligible mass is $\mathrm{T}$. If along with it another mass $M$ is also suspended, the period of oscillation will now be
Which one of the following equations of motion represents simple harmonic motion? Where $\mathrm{k}, \mathrm{k}_0, \mathrm{k}_1$ and $\mathrm{a}$ are all positive
A simple pendulum performs simple harmonic motion about $\mathrm{x}=0$ with an amplitude a and time period $T$. The speed of the pendulum at $\mathrm{x}=\frac{\mathrm{a}}{2}$ will be
A simple pendulum performs simple harmonic motion about $\mathrm{x}=0$ with an amplitude a and time period T. The speed of the pendulum at $\mathrm{x}=\mathrm{a} / 2$ will be :