If the amplitude of a vibration doubles, the loudness of the sound produced:
AStays the same
BDoubles
CBecomes 4 times
DBecomes half
Answer & Solution
Correct answer: C. Becomes 4 times
Loudness is proportional to the SQUARE of the amplitude (chapter rule). If amplitude doubles (×2), the square factor is 2² = 4. So the loudness becomes 4 times the original. This is why a slightly larger sweep of a guitar string can sound a lot louder.
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