$A$ simple pendulum is set into vibrations. The bob of the pendulum comes to rest after some time due to

Write the equation of angular frequency and amplitude for damped oscillation.

Which of the following quantities does $NOT$ change due to the damping of oscillations?

$A$ block of mass $m$ is connected to a light spring of force constant $k$. The system is placed inside a damping medium of damping constant $b$. The instantaneous values of displacement,acceleration and energy of the block are $x, a$ and $E$ respectively. The initial amplitude of oscillation is $A$ and $\omega^{\prime}$ is the angular frequency of oscillations. The incorrect expression related to the damped oscillations is

The graph between velocity and position for a damped oscillation will be:

When an external force with angular frequency $\omega_d$ acts on a system of natural angular frequency $\omega$,the system oscillates with angular frequency $\omega_d$. The condition for the amplitude of oscillations to be maximum is