Constructive Interference - Wave Interference, Types, Explanation, and FAQs (2024)

  1. Physics
  2. Waves
  3. Constructive Interference

Light is a form of electromagnetic wave and is a part of the electromagnetic spectrum. Light is a form of energy that is also referred to as visible light. Visible light has a wavelength range of 400–700 nm. The Sun is the main source of light on the Earth and is the key to processes like photosynthesis, solar energy generation and many more. Sound is also a form of energy that can transmit through solids, liquids and gases. Sound is audible in the range of 20 Hz and 20 kHz. In this article, let us learn in detail about the interference of waves and their types. Let us mainly concentrate on constructive interference.

Table of Contents:
  • Wave Interference
  • Constructive Interference
  • Destructive Interference
  • Frequently Asked Questions – FAQs

Wave Interference

Light and sound can undergo many phenomena, which we can witness in our daily life. Light is responsible for the blue colour appearance of the sky. Light is also a key factor of bending appearance when an object moves from air to water. A rainbow is an ideal example that is formed by light. The echo is the result of the reflection of sound. The sound felt while striking a tuning fork. SONAR is a technique developed for sound propagation that helps to communicate, navigate, or detect objects on or under the surface of the water. These phenomena are witnessed since light and sound waves can undergo phenomena like reflection, refraction, polarization and interference. Along with these phenomena, light can also undergo diffraction, interference, and scattering.

The interference of waves can be witnessed when two waves travel along with the same medium. This phenomenon occurs when two waves meet or superimpose while travelling. The resultant wave is formed when two waves interfere. The value of the resultant wave is given by the sum of the individual waves.

Interference is of two types:

  1. Constructive Interference
  2. Destructive Interference

Constructive Interference

When two waves travel in the same direction and are in phase with each other, their amplitude gets added, and the resultant wave is obtained. Here, the waves are said to have undergone constructive interference. Upward displacement happens when the waves undergo constructive interference; hence, the upward displacement of the medium is greater than the displacement of the two interfering pulses.

Constructive Interference - Wave Interference, Types, Explanation, and FAQs (1)

The constructive interference pattern of the waves is as represented in the figure above. When a crest of one wave meets a crest of another wave of the same frequency, then the resultant amplitude is the sum of the individual amplitudes of the waves. We can also observe that the amplitude of the resultant wave is higher than the waves which undergo interference. Constructive interference occurs when the phase difference between the waves is an even multiple of π (180°).

Example: When we see two speakers right next to each other, we can experience constructive interference when the distance from each speaker to the observer is the same. The path difference must be equal to zero.

Destructive Interference

This kind of wave interference takes place in any location along with the medium when the two waves that interfere with each other have a displacement in the opposite direction. The destructive interference pattern of the waves is shown in the figure above. When a crest of a wave meets a trough of another wave, the waves are said to undergo destructive interference. The sine wave with +1 unit maximum displacement meets a sine wave with -1 unit maximum displacement; destructive interference occurs. The resulting amplitude of the wave, which undergoes destructive interference, is equal to the difference in the individual amplitudes of the waves. This type of interference occurs when the difference is an odd multiple of π.

Read more about the coherent sources and sustained interference.

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To know more about destructive interference, stay tuned with BYJU’S. Also learn in detail about interference of waves in an engaging way.

Frequently Asked Questions – FAQs

Q1

1. The speed of a wave is given by which equation?

V=λf.

Q2

2. What is the relationship between the time period and frequency?

T= 1/f.

Q3

3. What is interference of waves?

The phenomenon that occurs when two waves meet while travelling along the same medium.

Q4

4. What is destructive interference?

The wave interference that takes place in any location along the medium when the waves that interfere have a displacement in the opposite direction.

Q5

5. Can light waves undergo interference?

Yes.

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Q5

Constructive Interference - Wave Interference, Types, Explanation, and FAQs (2)

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Constructive Interference - Wave Interference, Types, Explanation, and FAQs (4)

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Constructive Interference - Wave Interference, Types, Explanation, and FAQs (2024)

FAQs

Constructive Interference - Wave Interference, Types, Explanation, and FAQs? ›

Constructive interference happens when two waves overlap in such a way that they combine to create a larger wave. Destructive interference happens when two waves overlap in such a way that they cancel each other out.

How do you explain constructive interference? ›

If we add these two waves together, point-by-point, we end up with a new wave that looks pretty much like the original waves but its amplitude is larger. This situation, where the resultant wave is bigger than either of the two original, is called constructive interference.

What are the two types of wave interference constructive and destructive? ›

Constructive interference occurs when two waves collide and combine, but destructive interference happens when two waves collide and cancel out.

What path difference causes constructive interference? ›

If the path difference is a whole number of wavelengths (1,2,3…) there is constructive interference and a bright spot for that color appears on the screen. If the path difference is 1/2,3/2,5/2..etc. of a wavelength then a dark spot appears due to destructive interference.

What is a real life example of constructive interference? ›

Constructive interference occurs when the phase difference between the waves is an even multiple of π (180°). Example: When we see two speakers right next to each other, we can experience constructive interference when the distance from each speaker to the observer is the same.

What is an example of a wave interference? ›

For instance, when two speakers play the same frequency, you might notice areas where the sound is particularly loud (constructive interference) or unusually quiet (destructive interference). Light waves, radio waves, and microwaves— all examples of electromagnetic waves—can also show interference patterns.

What are the conditions for constructive interference? ›

For a constructive interference to occur, the phase difference between two certain waves should be an even multiple of π or the value 180°. For destructive interference to occur, the phase difference between two certain waves should be an odd multiple of π or the value 180°.

What happens when two waves combine with constructive interference? ›

If the crests and troughs of the two waves align perfectly, they will combine to form a temporary larger wave with an amplitude equal to the combined amplitudes of the original waves. This is called constructive interference.

What happens to the energy when two waves interfere destructively? ›

The short answer is energy is always conserved and the "missing" energy caused by the destructive interference is redistributed to the regions of constructive interference. If the waves perfectly cancel in all regions, then the energy of the wave is redirected back to the source.

What is it called when waves exist at the same location and time will combine? ›

Superposition is the combination of two waves at the same location. Constructive interference occurs from the superposition of two identical waves that are in phase. Destructive interference occurs from the superposition of two identical waves that are 180°(πradians) 180 ° ( π radians ) out of phase.

How to tell if two waves are in phase? ›

If two waves coincide with peaks and troughs matching they are said to be in phase. If two periodic waves of similar frequency coincide in phase the waves superimpose their wave energy to produce a wave of double the amplitude. This is constructive interference.

What kinds of waves can show interference? ›

Interference effects can be observed with all types of waves, for example, light, radio, acoustic, surface water waves, gravity waves, or matter waves as well as in loudspeakers as electrical waves.

What is the difference between two waves for constructive interference? ›

For constructive interference, the superimposing waves must be in phase or the phase difference should be an integer multiple of 2π. So the path difference between two waves must be integer multiple of λ.

How is wave interference used in everyday life? ›

Wave interference is used in various fields such as acoustics, optics, quantum physics, and wireless communication. In acoustics, wave interference is a fundamental principle behind noise-cancelling headphones. These devices use destructive interference to cancel out unwanted ambient noise.

What is it called when sound waves overlap? ›

Interference: Two overlapping waves exhibit interference. Interference can be constructive or destructive. In constructive interference, the two amplitudes of the waves add together and result in a higher displacement than would have been the case if there were only one wave.

What happens when the crests of two waves overlap? ›

Wave interference occurs when two or more waves meet, affecting their amplitude. Constructive interference increases wave amplitude when crests overlap. Destructive interference cancels out waves when crests overlap with troughs.

What is the best description of the constructive interference of light? ›

Expert-Verified Answer. The best description of the constructive interference of light is the crest and trough of two waves intersect.

Which statement best defines constructive interference? ›

In terms of energy, constructive interference leads to an increase in the total energy of the wave. This is because the waves are adding up their energies when they reinforce each other. So, the statement that best defines constructive interference is "Two waves with identical crests and troughs meet."

What is a sentence for constructive interference? ›

The light rings are caused by constructive interference between the light rays reflected from both surfaces, while the dark rings are caused by destructive interference.

What is the expression for constructive interference? ›

Mathematical Representation of Constructive Interference

k = 2 π λ \frac{2\pi}{\lambda} λ2π is the wave number. ω = 2πf is the angular frequency. x is the position along the medium. t is the time.

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