Question

Represent graphically any two separate diagrams in each case-
(A) Two sound waves having the same amplitude but different frequencies.
(B) Two sound waves having the same frequencies but different amplitude.

Answer 1

Hint Loudness is determined by the amplitude. Pitch is determined by the frequency of the wave. Two waves can have the same frequency and differ in loudness. Two sound waves of the same loudness can have different frequencies.

Complete Step-by-step Solution
Case I : When two sound waves having the same amplitude but different frequencies .
     

We have two images one depicting low pitch and the other depicting high pitch.
Pitch of a sound wave is that characteristic by which we can distinguish between different sound waves of the same amplitude ( loudness). Here the amplitude or we can say the loudness of both the waves is the same only the spacing between the waves is different. In low pitch sound , the number of vibrations per second are less and in high pitch sound, the number of vibrations per second are more.

These are the two images showing different frequencies of waves of the same amplitude. The distance on the vertical axis is the same , only the spacing in the horizontal axis differs.

Case II: When two sound waves of same frequencies differ in amplitude-

One of the waves has a larger amplitude than the other but the frequency of both the waves is the same. Larger the amplitude ,more will be the loudness. Two sound waves can have the same frequency( the distance between one trough/crest to another trough/crest or simply the spacing between the waves) and differ in loudness as shown in the above diagrams.

Note The distance on the y-axis determines the amplitude of the sound wave. The distance between the waves represents frequency.