List of top Physics Questions on Waves and Oscillations asked in KEAM

For a particle executing simple harmonic motion with amplitude $A$ and time period $T$ along x-axis, the time taken by the particle to move from $x = 0$ to $x = A$ is

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

The number of nodes and antinodes in a guitar string vibrating in the third harmonic is ________.

A musician hits a drum 90 times in a minute. The time period of hit is

The distance travelled by a particle executing linear S.H.M. from its mean position in 2 s is equal to \( \frac{1}{\sqrt{2}} \) times its amplitude. Then its time period in seconds is

A closed organ pipe and an open organ pipe have the same length. The ratio of the frequencies in their third mode of vibrations is

Consider a particle executing a simple harmonic motion. Let x,A,K and U are displacement,amplitude,kinetic energy and potential energy,respectively,of the particle at certain instant of time. If\(\frac{K}{U}\)=3,then \(\frac{x}{A}\) is:

Two simple harmonic motions with the same amplitude and same frequency acting in the same direction are impressed on a particle. If the resultant amplitude of the particle is twice the amplitude of individual S.H.Ms, the phase difference between the two simple harmonic motions is

A body undergoing simple harmonic motion has a maximum acceleration of \( 8\pi \text{ m/s}^2 \) and maximum speed of \( 1.6 \text{ m/s} \). What is the time period \( T \)?

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

Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true?

Instantaneous power delivered to a damped harmonic oscillator (natural frequency is \( \omega_0 \)) by an external periodic force (driving frequency \( \omega \)) under steady state conditions is

The Q factor for a damped oscillator is given by the

A spring of natural length $l$ and spring constant $50\, N/m$ is kept on a horizontal frictionless table with one end attached to a rigid support. First the spring was compressed by $10\, cm$ and then released to hit a ball of mass $20\, g$ kept at a distance l from the rigid support. if after hitting the ball, the natural length of the spring is restored, what is the speed with which the ball moved? (Ignore the air resistance)

A particle of mass $m$ is moving along the $x$-axis under the potential $V(x)=\frac{kx^2}{2}+\frac{\lambda}{x}$, where $k$ and $\lambda$ are positive constants. The particle is slightly displaced from its equilibrium position. The particle oscillates with the angular frequency $\omega$ given by

The displacement $y$ of a particle is given by $y = 4\cos^2(t/2) \sin (1000 t)$. This expression may be considered to be a result of the superposition of how many simple harmonic motions?

A particle is moving along the x-axis such that its acceleration is proportional to the displacement from the equilibrium position and they are in the same direction. The displacement $x(t)$ is given by

If $x$, $v$ and $a$ denote the displacement, the velocity and the acceleration of a particle executing simple harmonic motion of time period T, then which of the following do not change with time?

A particle of mass $3$ kg, attached to a spring with force constant $48$ N/m executes simple harmonic motion on a frictionless horizontal surface. The time period of oscillation of the particle, in seconds, is

The position and velocity of a particle executing simple harmonic motion at $t = 0$ are given by $3$ cm and $8$ cm/s respectively. If the angular frequency of the particle is $2$ rad/s then the amplitude of oscillation, in centimeters, is