List of practice Questions

Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated on the figure. The simple harmonic motion of the $x$-projection of the radius vector of the rotating particle $P$ is

Figure shows the displacement-time graphs of two simple harmonic motions$ I$ and $II$. From the graph it follows that

For a bar pendulum the distance between two points of minimum time period is

For a simple pendulum, the graph between $ {{T}^{2}} $ and $ L $ is

For Simple Harmonic Oscillator, the potential energy is equal to kinetic energy

If a pendulum clock is shifted from earth to the surface of moon. Then it

If F is restoring force, $K$ is force constant and $y$ is displacement, which of the following expressions represent the equation of Simple Harmonic Motion ?

If the differential equation for a simple harmonic motion is $\frac{d^2 y}{dt^2} + 2 y = 0$, the time-period of the motion is

If the length of seconds pendulum is increased by 2%, then in a day the pendulum

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?

In a certain oscillatory system, the amplitude of motion is $5\, m$ and the time period is $4\, s$. The time taken by the particle for passing between points which are at distances of $4 \,m$ and $2\, m$ from the centre and on the same side of it will be

In a resonace air column experiment, first and second resonances are obtained at lengths of air columns $l_1$ and $ l_2$, the third resonance will be obtained at a length of

In case of a forced oscillation, the resonance peak becomes very sharp when the

In SHM, the acceleration of the particle is zero, when its

In the given diagram S$_1$ and S$_2$ are identical springs. The frequency of oscillation of the mass III is.f If one of the springs is removed. the frequency will be

Longitudinal waves cannot travel through

Resonance is an example of

Statement-I : Superposition principle is applicable only for small disturbances Statement-2 : Superposition principle is applicable only for non-linear waves

The amplitude of oscillation can never be infinite The energy of oscillator is continuously dissipated

The displacement of a particle is represented by the equation $ y = 3\,cos (\frac{\pi}{4} - 2 \omega t)$. The motion of the particle is

The motion of a simple pendulum is simple harmonic for all angular displacement Motion of simple pendulum is independent of the angular displacement

The motion of the earth around the sun is periodic but not oscillatory Oscillatory motion is necessarily periodic but periodic motion is not necessarily oscillatory

The motion which is not simple harmonic is

The position of a particle moving along $x$ -axis is given by $x=x_{0}\left(cos\right)^{2}\left(\right.?t\left.\right)$ . Its speed when it is at mean position is

The total energy of a simple harmonic oscillator is proportional to