List of top Physics Questions on Waves and Oscillations

The time period of a simple harmonic oscillator is \[ T=2\pi\sqrt{\frac{m}{k}}. \] Measured value of mass \(m\) has an accuracy of \(10%\) and time for 50 oscillations of the spring is found to be \(60\,\text{s}\) using a watch of 2 s resolution. Percentage error in determination of spring constant \(k\) is:
A cylindrical block of mass $M$ and area of cross section $A$ is floating in a liquid of density $\rho$ with its axis vertical. When depressed a little and released the block starts oscillating. The period of oscillation is ___.

Using a variable frequency ac voltage source the maximum current measured in the given LCR circuit is 50 mA for V = 5 sin (100t) The values of L and R are shown in the figure. The capacitance of the capacitor (C) used is_______ µF.

Detector \( D \) moves from \( A \) to \( B \) and observes the frequencies are differing by 10 Hz. The source is emitting frequency \( f_0 \) as shown: Speed of detector is 35 times less than speed of sound. Then \( f_0 \) is.
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 ________.
Using a simple pendulum experiment $g$ is determined by measuring its time period $T$. Which of the following plots represent the correct relation between the pendulum length $L$ and time period $T$?
A body of mass 2 kg is moving along x-direction such that its displacement as function of time is given by $x(t) = \alpha t^2 + \beta t + \gamma$ m, where $\alpha = 1$ m/s$^2$, $\beta = 1$ m/s and $\gamma = 1$ m. The work done on the body during the time interval $t = 2$ s to $t = 3$ s, is _________ J.
A cylindrical body of mass m and cross section A is floating in a liquid of density $\rho_{L}$ such that its axis is vertical. If body is displaced by a small displacement 'x' vertically, find the time period of oscillation of the body :
During SHM, K.E. of particle in SHM varies with frequency of 176 Hz. Find the frequency of SHM of the particle.
System is released after slightly stretching it. Find angular frequency of its oscillations:
Statement–I: Time period of a simple pendulum increases if the mass of the bob is increased.
Statement–II: Time period of a simple pendulum depends only on its length and acceleration due to gravity.

There are two spring–block systems as shown. They are in equilibrium. If $\dfrac{m_1}{m_2}=\alpha$ and $\dfrac{k_1}{k_2}=\beta$, then the ratio of the energies of the springs $\left(\dfrac{E_1}{E_2}\right)$ is:

A particle moves according to the equation x = Asin(\(\omega t\)). The potential energy is maximum at time \(t = \frac{T}{2\beta}\), where T is the time period of particle. Find the minimum value of \(\beta\) :
Two mechanical waves on strings of equal length (\( L \)) and tension (\( T \)) having linear mass density \( \mu_1/\mu_2 = 1/2 \). Find the ratio of time taken for a wave pulse to travel from one end to the other in both strings. (Ignore gravity)
A simple pendulum of length $30$ cm makes $20$ oscillations in $10$ s on a certain planet. Another pendulum makes $40$ oscillations in $10$ s on the same planet. Find the length of the second pendulum.
A pendulum completes 20 oscillations in 40 seconds. What is its frequency?
The time period of a particle executing simple harmonic motion is $2\pi$ second. If the maximum acceleration of the particle is $10 ms^{-2}$, then the maximum velocity of the particle is
The force (F in newton) acting on a particle of mass 90 g executing simple harmonic motion is given by $F+0.04\pi^2y=0$, where y is displacement of the particle in meter. If the amplitude of the particle is $\frac{6}{\pi}$ m, then the maximum velocity of the particle is
At a given place, to increase the number of oscillations made by a simple pendulum in one minute from 72 to 90, the length of the pendulum is to be decreased by
A simple pendulum has a length of $ L = 2 \, \text{m} $. What is the time period of the pendulum? (Assume $ g = 9.8 \, \text{m/s}^2 $)
A mass of 0.5 kg is attached to a spring of force constant 200 N/m. What is the time period of oscillation?
If the amplitude of a damped harmonic oscillator becomes half of its initial amplitude in a time of 10 s, then the time taken for the mechanical energy of the oscillator to become half of its initial mechanical energy is
Two bodies A and B of equal mass are suspended from two massless springs of spring constant \( k_1 \) and \( k_2 \), respectively. If the bodies oscillate vertically such that their amplitudes are equal, the ratio of the maximum velocity of A to the maximum velocity of B is:

In an oscillating spring mass system, a spring is connected to a box filled with sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency ω(t) and average amplitude A(t) of the system change with time t. Which one of the following options schematically depicts these changes correctly? 

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). 
Assertion (A): Time period of a simple pendulum is longer at the top of a mountain than that at the base of the mountain. 
Reason (R): Time period of a simple pendulum decreases with increasing value of acceleration due to gravity and vice-versa. In the light of the above statements. 
choose the most appropriate answer from the options given below: