ONE of the following statements is FALSE about a secondorder

ONE of the following statements is FALSE about a second-order instrument. It is so called because the system dynamics can be modeled as a mass-damper-spring system. A large value of the undamped natural frequency can be associated with a large bandwidth. It display a response with an exponential rise if subjected to a step input without settling to a value. Ringing occurs if the damping ratio is less than one. It is desirable to have a damping ratio just below one so the instrument can rise to the final state faster than if the damping ratio is one.

Solution

Solution:

The false statement is option e.

It is not necessary that if the damping ratio is below 1 it can reach the final state faster. It all depends on the other conditions of the system.