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Two vibrating systems are in resonance w...

Two vibrating systems are in resonance when

A

Their amplitudes only are equal

B

Their frequencies only are equal

C

Their temperatures are the same

D

Both their amplitudes and frequencies are different.

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**Step-by-Step Solution:** 1. **Understanding Resonance**: Resonance occurs when two vibrating systems influence each other. This typically happens when one system is subjected to an external force that matches its natural frequency. 2. **Identifying Frequencies**: Each vibrating system has a natural frequency (Fn). When an external force is applied to one of the systems, it can cause the system to vibrate at a new frequency (F'). 3. **Condition for Resonance**: For resonance to occur between two vibrating systems, their frequencies must match. This means that if one system has a frequency of Fn and the other has a frequency of F', resonance occurs when Fn = F'. 4. **Effect of Resonance**: When the frequencies of the two systems are equal, the amplitude of the vibrations increases significantly. This is because the energy from the external force is efficiently transferred to the vibrating system. 5. **Conclusion**: Therefore, two vibrating systems are in resonance when their frequencies are equal. ---
**Step-by-Step Solution:** 1. **Understanding Resonance**: Resonance occurs when two vibrating systems influence each other. This typically happens when one system is subjected to an external force that matches its natural frequency. 2. **Identifying Frequencies**: Each vibrating system has a natural frequency (Fn). When an external force is applied to one of the systems, it can cause the system to vibrate at a new frequency (F'). 3. **Condition for Resonance**: For resonance to occur between two vibrating systems, their frequencies must match. This means that if one system has a frequency of Fn and the other has a frequency of F', resonance occurs when Fn = F'. ...
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