List of top Physics Questions on Waves and Oscillations asked in MHT CET

A particle performs S.H.M. from the mean position. Its amplitude is \( A \) and total energy is \( E \). At a particular instant its kinetic energy is \( \frac{3E}{4} \). The displacement of the particle at that instant is

A spring executes S.H.M. with mass 10 kg attached to it. The force constant of the spring is 10 N/m. If at any instant its velocity is 40 cm/s, the displacement at that instant is (Amplitude of S.H.M. = 0.5 m)

The length of the seconds pendulum is decreased by 0.3 cm when it is shifted from place A to place B. If the acceleration due to gravity at place A is 981 cm/s\(^2\), the acceleration due to gravity at place B is (Take \( \pi^2 = 10 \))

A particle executes the simple harmonic motion with an amplitude $'A'$. The distance travelled by it in one periodic time is

For a particle performing linear S.H.M., its average speed over one oscillation is (a = amplitude of S.H.M., n = frequency of oscillation)

A particle performs linear $S.H.M.$ At a particular instant, velocity of the particle is $u$ and acceleration is $\alpha$ while at another instant velocity is $v$ and acceleration is $ \beta (0 < \alpha < \beta )$. The distance between the two positions is

A mass $m_1$ connected to a horizontal spring performs $S.H.M.$ with amplitude $A$. While mass $m_1$ is passing through mean position another mass $m_2$ is placed on it so that both the masses move together with amplitude $A_1$. The ratio of $\frac{A_{1}}{A}$ is $\left(m_{2} < m_{1}\right)$

If the radius of the first Bohr orbit is $r$, then the de Broglie wavelength of the electron in the $4^{\text{th}}$ orbit is

For a particle in $ SHM $ , if the amplitude of the displacement is a and the amplitude of velocity is $ v $ , the amplitude of acceleration is

The average acceleration of a particle performing $ SHM $ over one complete oscillation is

A particle performing $ SHM $ has time period $ \frac{2\pi}{\sqrt3} $ and path length $ 4\, cm $ . The displacement from mean position at which acceleration is equal to velocity is

A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flow out of the hole at the bottom, the period of oscillation will

The simple pendulum acts as second's pendulum on earth. Its time on a planet, whose mass and diameter are twice that of earth is

The displacement of a particle performing simple harmonic motion is given by, x=8sin$\omega t+6cos \omega t$, where distance is in cm and time is in second. The amplitude of motion is

The minimum phase difference between two simple harmonic oscillations, $ \, \, \, \, \, \, \, \, y_1 =\frac{1}{2}sin \omega t +\frac{\sqrt 3}{2} cos \omega t$ $ \, \, \, \, \, \, \, \, \, \, \, y_2 =sin \omega t +cos \omega t$ is