Define resonant vibrations.

Hint: The phenomenon in which an external force or a vibrating system forces another system around it to vibrate with a higher amplitude at a specified frequency of operation is called resonance. It occurs when any material oscillates at a high amplitude at a specific frequency.


Complete step-by-step solution:
If the natural frequency of vibration becomes equal to the vibrating object frequency, the object will have maximum amplitude. These are called resonant vibrations. There are many examples of resonance in our daily lives. Musical instruments are the best examples of resonance which we observe around us. When a person hits any musical instrument like drums, the instrument oscillates or vibrates at the natural frequency of vibration of the instrument. Each frequency of vibration is defined by a unique standing wave pattern. These natural frequencies of musical instruments are called the harmonics of that specific instrument. Incase if a second interconnected instrument oscillates or vibrates at that specified frequency then the first object can be forced to vibrate at a frequency that is higher than its natural harmonic frequency. This phenomenon is usually called resonance.

Note: There are many types of resonance like mechanical resonance, acoustic resonance and electrical resonance. The tendency of a mechanical system to respond at a greater amplitude whenever the frequency of its oscillations match with the system’s natural frequency of vibration is called mechanical resonance. The phenomenon in which the acoustic system amplifies the sound waves whose frequency matches one of its own natural frequencies of vibration is called acoustic resonance. Electrical resonance occurs when the inductive reactance and the capacitive reactance are equal in magnitude.