We have a stringed musical instrument. The string is plucked in the middle first with a force of greater magnitude and then with a force of smaller magnitude. In which case would the instrument produce a louder sound?

In the first case in which the string is plucked in the middle produce a louder sound because:

The loudness of a sound depends upon the amplitude of vibration.


Greater force means greater amplitude.


This means, when the string is plucked with greater force, the amplitude of a string is larger.


Thus, the sound will be louder in this case.


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