Question

explain relation between loudness and amplitude of sound. in detail

Answer 1

Sound waves with a large amount of energy have a larger amplitude which increases the loudness in the wave.

 2 ways to increase the amplitude
1.) Increase the waves energy 
2.)Increase the force of the impact (hit harder, more vibrations)
Relationship

The larger an amplitude of a wave the louder the sound and the lower the amplitude of the wave the softer the sound.

Amplitde- The maximum distance the particles of the wave vibrate away from the resting point
Loudness- The extenet to which a sound can be heard

Answer 2

Hey there!

Relation between Loudness and Amplitude:

Loudness is directly proportional to square of the amplitude.

i.e Loudness ∝ (Amplitude)²

Example:

When a body vibrates with a greater amplitude, it sends forth a greater amount of energy and hence the energy received by the eardrum is large, so the sound appears louder.

Hope It Helps You!