Question

In what way does loudness of sound depend on amplitude if the amplitude is increase by 3 times by how much does the loudness increase

Answer 1

Loudness is defined as 10 times the logarithm of intensity of the sound wave, with respect to a base sound level. Loudness is measured in decibels.

Intensity is proportional to square of the amplitude of the sound wave.

So loudness will increase by 10 * Log 3 decibels.