List of top Physics Questions on Oscillations asked in AIEEE

This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. If two springs $S_1$ and $S_2$ of force constants $k_1$ and $k_2$, respectively, are stretched by the same force, it is found that more work is done on spring $S_1$ than on spring $S_2$. If stretched by the same amount, work done on $S_1$, will be more than that on $S_2$ $k_1 < k_2$

If a simple pendulum has significant amplitude (up to a factor of 1/e of original) only in the period between $t = 0s$ to $t = \tau s$, then $\tau$ may be called the average life of the pendulum. When the spherical bob of the pendulum suffers a retardation (due to viscous drag) proportional to its velocity, with 'b' as the constant of proportionality, the averatge life time of the pendulum is (assuming damping is small)

A wooden cube (density of wood $'d'$) of side $'\ell'$ floats in a liquid of density $'\rho'$ with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period $'T'$. Then, $'T'$ is equal to :

A point mass oscillates along the $x-axis$ according to the law $x = x_0 \,cos (\omega t - \pi/4)$. If the acceleration of the particle is written as $a = A cos(\omega t + \delta)$ then

A coin is placed on a horizontal platform which undergoes vertical simple harmonic motion of angular frequency $\omega$ . The amplitude of oscillation is gradually increased. The coin will leave contact with the platform for the first time:

If a simple harmonic motion is represented by $\frac{d^{2}x}{dt^{2}}+\alpha\,x=0,$ its time period is :

The total energy of particle, executing simple harmonic motion is

The bob of a simple pendulum executes simple harmonic motion in water with a period $t$, while the period of oscillation of the bob is $t_0$ in air. Neglecting frictional force of water and given that the density of the bob is $\left(\frac{4}{3}\right)\times1000\,kg/m^{3}.$ What relationship between $t$ and $t_0$ is true?

A particle of mass $m$ is attached to a spring (of spring constant $k$) and has a natural angular frequency $\omega_0$. An external force $F(t)$ proportional to $cos\omega t$ $(\omega?\omega_0)$ is applied to the oscillator. The time displacement of the oscillator will be proportional to

In forced oscillation of a particle the amplitude is maximum for a frequency $\omega_1$ of the force, while the energy is maximum for a frequency $\omega_2$ of the force, then