Question

The depth of the troughs of a wave is called its
A. Amplitude
B. Displacement
C. Frequency
D. None of these

Answer 1

Hint: In this question, we need to comment on the term which signifies the given statement as the depth of the troughs of a wave. For this, we will define the terms given in the options and try to relate the same with the given statement. Crest and trough are similar things but in the opposite direction of the wave with respect to the vertical axis.

Complete answer:
Displacement is defined as the shortest distance between two points. It can be negative, zero or positive. Its unit is meter. It is a vector quantity. The magnitude of displacement is less than or equal to distance between two points.
Frequency is the number of vibrations per unit time. It is the inverse of time period. It is measured in Hertz and it is equal to one occurrence or one vibration in one second.
Amplitude is the maximum displacement from mean position. It can be also said the depth of troughs as troughs and even crests arises due to deviation from mean position. Crests are the maximum part or point of something while trough is the minimum part or point of something. Here in waves, crests are the maximum or highest point in a wave and troughs are the minimum or lowest point in a wave.

So, the correct answer is “Option A”.

Note:
The depth of trough refers to the maximum displacement of the wave from mean position. This refers to a quantity in the wave's part of physics. Amplitude can also be defined as the height of the crest of a wave. Students should also remember the other quantities in waves like frequency, wavelength, angular velocity and others. These can be asked also.