Resonance occurs when one vibrating object causes a second object to vibrate at its own natural

Analyze the question: The question asks what property of the second object matches the driving vibration in resonance. The sentence is: "Resonance occurs when one vibrating object causes a second object to vibrate at its own natural __."

Explain the concept: Every object has a natural frequency, which is the frequency at which it vibrates freely when disturbed. If a vibrating body (the driver) produces vibrations that match this natural frequency, the second object absorbs energy efficiently and vibrates with a large amplitude. This is resonance.

Step-by-step solution:

1. Resonance depends on matching frequencies, not amplitudes or speeds.
2. Amplitude (A) is the maximum displacement. It is a result of resonance, not the natural property of the object.
3. Speed (B) is not a natural property that is matched in resonance.
4. Intensity (D) relates to the energy carried by a wave. It is not a natural property of a vibrating body.
5. Frequency (C) is the property each object has naturally. When the driving frequency equals the object's natural frequency, resonance occurs.

Answer: C. frequency

Examples to remember:

• A singer shattering a glass by matching its natural frequency.
• Pushing a child on a swing at the right timing.
• Tuning a radio to a station (electrical resonance).

Exam tip: Remember "Resonance = Right Rate". Whenever you see resonance, think frequency match, and the large amplitude is the effect.