
The frequency at which a system naturally oscillates with maximum amplitude when driven.Resonant frequency is the natural frequency at which a system oscillates with the greatest amplitude when driven by an external force. When the driving frequency matches the system's natural frequency, energy is transferred most efficiently, leading to large oscillations. This phenomenon is ubiquitous, from a child pumping a swing to the vibration of molecules absorbing infrared light.
The concept was first systematically studied by Galileo Galilei in the early 17th century, who observed resonance in pendulums and strings.
Every physical system has a natural frequency determined by its stiffness and mass (or analogous properties). When an external periodic force is applied, the system responds at the driving frequency, but the amplitude is largest when the driving frequency equals the natural frequency. This is because the force does positive work on the system at the right phase, building up energy over time.
Resonant frequencies are exploited in MRI machines to selectively excite hydrogen nuclei, in quartz watches to keep precise time, and in acoustic resonators to amplify specific sound frequencies.
In the Crab Nebula, the 'zebra' pattern in radio emission is thought to be caused by resonant absorption in the pulsar's magnetosphere, where certain frequencies are strongly absorbed at specific heights.







