When will the stringed instrument produce a louder sound if you pluck the string in the middle with a force of greater magnitude and then with a smaller magnitude?

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The amplitude of a string is larger when it is plucked with a greater force.

The amplitude of a string is smaller when it is plucked with a greater force.

The amplitude of a string is larger when it is plucked with a weak force.

There is no amplitude in either case.

answer is A.

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Detailed Solution

The stringed instrument produces a louder sound when the amplitude of a string is larger and when it is plucked with a greater force.
When the string is plucked, it produces to-and-fro motion, known as vibration, and produces sound.

The displacement of the string is a measure of the amplitude of a vibration, and we can say that the loudness of sound depends only on the amplitude of the vibration. A string's amplitude is larger when plucked with a greater force. The sound will be loud in that case.

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