List of top Physics Questions on Waves and Oscillations

A circular disc of radius \(15\,cm\) and mass \(10\,kg\) is suspended by a wire attached to its centre. When the wire is twisted by rotating the disc and released, the period of torsional oscillations of the disc is \(1.5\,s\). The torsional spring constant of the wire is nearly:

A particle executes SHM with amplitude 40 cm and time period 6 s. Minimum time to move from mean position to a point at 20 cm from extreme position is:

The equation for the displacement (x) of a particle executing simple harmonic motion is $x=18\sin\left(2\pi t+\frac{\pi}{2}\right)$ cm, where 't' is time in second. The minimum time after $t=0$ when the velocity of the particle becomes maximum is

In an Isothermal process:

In a closed hall of volume 5000 m³, the total absorption of the interior surfaces is 200 metric sabin. The reverberation time is:

If the volume of a room is doubled and the total absorption is halved, the reverberation time will:

In Acoustics, 'Noise' is generally characterized by:

A source of sound of frequency 500Hz is moving towards an observer with velocity $30m/s$. The speed of sound is $330m/s$. The frequency heard by the observer will be:

The displacement of a particle executing simple harmonic motion with time period \(T\) is expressed as \[ x(t)=A\sin\omega t, \] where \(A\) is the amplitude of oscillation. If the maximum value of the potential energy of the oscillator is found at \[ t=\frac{T}{2\beta}, \] then the value of \(\beta\) is ________.

The displacement of a particle executing SHM is given by $x = 0.01 \sin(100\pi t + 0.05)$. Its maximum velocity is:

A particle executes simple harmonic motion of amplitude A and time period T. The time taken by the particle to travel from the mean position to a distance of A/2 is:

A block of mass $M$ attached to a horizontal spring of spring constant $k$ executes SHM with amplitude $A$. When the block passes through its mean position, a small piece of mass $m$ is dropped vertically onto it and sticks to it. The new amplitude of oscillation is:

If \(\vec{a}=\hat{i}+\hat{j}+\hat{k}\), \(\vec{b}=\hat{i}-\hat{j}+\hat{k}\), \(\vec{c}=\hat{i}+2\hat{j}-\hat{k}\) then the value of \(\left|\begin{matrix}\vec{a}\cdot\vec{a}&\vec{a}\cdot\vec{b}&\vec{a}\cdot\vec{c}\\ \vec{b}\cdot\vec{a}&\vec{b}\cdot\vec{b}&\vec{b}\cdot\vec{c}\\ \vec{c}\cdot\vec{a}&\vec{c}\cdot\vec{b}&\vec{c}\cdot\vec{c}\end{matrix}\right|\) is equal to:

The general solution of the equation \(\sin^{100}x-\cos^{100}x=1\) is:

A particle executes simple harmonic motion according to the equation \( x(t) = A \sin^2(\alpha t) \). If the time period of the S.H.M is 0.2 s, then the value of \( \alpha \) (in units of rad/s) is:

Force constant of interatomic bond, in a certain element, is $1\text{ N m}^{-1}$. If the atom oscillates in SHM in a certain direction, what is its frequency? Given: Mole weight of the given element is $108\text{ g}$ and Avogadro's number $=023\times10^{23}\text{ g mol}^{-1}$.

Beats are produced by superposition of two waves with:

Two progressive waves \(Y_1 = \sin 2\pi \left(\frac{t}{0.4} - \frac{x}{4}\right)\) and \(Y_2 = \sin 2\pi \left(\frac{t}{0.4} + \frac{x}{4}\right)\) superpose to form a standing wave (\(x\) and \(y\) in SI units). Find the amplitude of the particle at \(x = 0.5\) m.

Which one of the following motions is not simple harmonic motion?

An organ pipe open at both the ends has its fundamental frequency 200 Hz. If one end of it is closed and the other end is kept open, the frequencies produced by it are

The displacement and acceleration of a particle oscillating simple harmonically are respectively 3.0 m and \(48.0 \, ms^{-2}\). The angular frequency of the particle is (in \(s^{-1}\)).

Two springs with constants k and 2k are connected in series and a mass m is hanged. The time period of oscillation is

The velocity and acceleration of a particle performing simple harmonic motion have a steady phase relationship. The acceleration shows a phase lead over the velocity in radians of

When two sound waves having amplitudes 3 and 5 units are superimposed, find the ratio of maximum to minimum intensity of the resultant wave.