Which of the following is correct for the constructive interference of the two harmonic waves?

Question

Question

The amplitude of the resultant wave is equal to the sum of the amplitudes of individual waves
The Intensity of the resultant wave is equal to the sum of the intensities of individual waves
Both 1 and 2
None of these

Answer 1

CONCEPT:

The principle of superposition of waves:

When two or more waves come together at some point in space then the resultant disturbance wave is the vector sum of disturbance of the individual waves.

F1 Nakshatra Madhuri 12.03.2022 D1

Interference:

When two waves superimpose then the resultant amplitude of the wave at that point is the vector sum of amplitudes of each individual wave. This phenomenon is called the interference of waves.
There are two types of
1. Constructive Interference:
2. Destructive Interference:

S. No	Constructive Interference	Destructive Interference
1.	If two waves superimpose with each other in the same phase, the amplitude of the resultant is equal to the sum of the amplitudes of individual waves resulting in the maximum intensity of light, this is known as constructive interference.	If two waves superimpose with each other in the opposite phase, the amplitude of the resultant is equal to the difference in amplitude of individual waves, resulting in the minimum intensity of light, this is known as destructive interference.

EXPLANATION:

If two waves superimpose with each other in the same phase, the amplitude of the resultant is equal to the sum of the amplitudes of individual waves resulting in the maximum intensity of light, this is known as constructive interference.
Hence, option 1 is correct.