Question

What are the conditions for constructive and destructive interference ?

Answer 1

Hint:In order to answer this question, to know the conditions for constructive and destructive interference, we will first explain the condition of both the interference and then we will discuss both the given interference separately.

Complete answer:
The phase difference between the two waves must be an even integral multiple of or ${180^\circ }$ for constructive interference to occur. The phase difference between the two waves in destructive interference is an odd integral multiple of or ${180^\circ }$ .

Constructive interference: The electromagnetic spectrum includes light, which is a type of electromagnetic wave. Light is an energy form that is also known as visible light. The wavelength range of visible light is \[400-700{\text{ }}nm\] . The sun is the Earth's primary source of light and is essential for processes such as photosynthesis, solar energy generation, and many others.

Sound is an energy type that can travel through solids, liquids, and gases. The frequencies of \[20{\text{ }}Hz{\text{ }}and{\text{ }}20{\text{ }}kHz\] are audible. Light and sound can go through a variety of transformations that we can see in our daily lives. The blue colour of the sky is due to the presence of light. When an object transitions from air to water, light plays an important role in its appearance. Light creates an amazing illustration in the form of a rainbow. The echo is the consequence of sound reflection.

The sound produced when a tuning fork is struck. SONAR is a sound propagation technology that can be used to communicate, navigate, or detect objects on or beneath the water's surface. Because light and sound waves can experience reflection, refraction, polarisation, and interference, these phenomena can be observed. Light can also undergo diffraction and scattering in addition to these events.

Destructive-interference: It can occur anywhere in the medium where the two interfering waves have a displacement in the opposite direction; that is, when the two waves come into interference, they are travelling in the opposite direction.

Note: When waves collide and their displacements are all in the same direction, this is known as constructive interference. As a result, the displacements reinforce each other, resulting in a resultant wave with a larger amplitude than any of the waves that contributed to its creation.