Which of the following conditions is not necessary to observe an interference pattern between two sets of waves?

Choose one answer.
a. The waves must have the same wavelength.
b. The waves must have a constant phase difference.
c. The waves must have the same amplitude.
d. The waves must have the same frequency.

Answer is C.

Thanks!!

To determine which condition is not necessary to observe an interference pattern between two sets of waves, we need to understand what interference is. Interference occurs when two or more waves overlap and combine to create a resultant wave. This phenomenon can only occur under certain conditions.

To observe an interference pattern between two sets of waves, the most crucial condition is that the waves must have the same wavelength. This is because interference is a result of the superposition of waves, which requires them to have the same frequency and therefore the same wavelength (choice a).

The waves having a constant phase difference (choice b) is also essential for observing interference. The phase difference determines how the waves align and interfere. For example, if the waves are in phase (constant phase difference of 0 degrees), constructive interference occurs, resulting in an intensified wave. On the other hand, when the waves are out of phase (constant phase difference of 180 degrees), destructive interference takes place, causing the waves to cancel each other out. Therefore, choice b is necessary for observing an interference pattern.

The waves having the same amplitude (choice c) is not a crucial condition for observing interference. Amplitude refers to the magnitude or intensity of the wave. While it can affect the physical appearance of the interference pattern, such as the brightness or darkness of areas, it does not change the interference phenomenon itself.

Lastly, the waves having the same frequency (choice d) is necessary for observing interference since interference depends on waves having the same wavelength, which is directly related to their frequency.

Therefore, the condition that is not necessary to observe an interference pattern between two sets of waves is choice c - the waves having the same amplitude.