The damping ratio is a dimensionless measure describing how oscillations in a system decay after a disturbance. Many systems exhibit oscillatory behavior when they are disturbed from their position of static equilibrium. If τ is zero then there will be no damping, hence, it is called undamped system.

When the damping factor is zero the system response will be?

Explanation: The generalized time response of a second order control system reduces to a purely sinusoidal function when the damping factor is zero. This is because the damping ratio becomes 0. Hence, the correct option is purely sinusoidal. 10.

In which case is the damping factor 0?

The damping ratio is a system parameter, denoted by ζ (zeta), that can vary from undamped (ζ = 0), underdamped (ζ < 1) through critically damped (ζ = 1) to overdamped (ζ > 1).