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Class 12 Exam  >  Class 12 Questions  >  When is the wave interference strong?a)When t... Start Learning for Free
When is the wave interference strong?
  • a)
    When the paths taken by all of the interfering waves are greater than the coherence length
  • b)
    When the paths taken by all of the interfering waves are lesser than the coherence length
  • c)
    When the paths taken by all of the interfering waves are equal than the coherence length
  • d)
    When the paths taken by all of the interfering waves are independent of the coherence length
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
When is the wave interference strong?a)When the paths taken by all of ...
Interference of Waves and Coherence Length
Interference is a phenomenon that occurs when two or more waves superpose and combine to form a resultant wave. The interference can be either constructive or destructive, depending on the phase difference between the waves. The coherence length is a property of the waves that determines the degree of interference.

Coherence Length
Coherence length refers to the distance over which a wave maintains a constant phase relationship. It is a measure of how long a wave remains coherent or in sync. Waves with a longer coherence length have a greater ability to interfere constructively.

Paths of Interfering Waves
When considering interference, it is essential to examine the paths taken by the interfering waves. The path difference between the waves determines the phase difference and, consequently, the interference pattern. In the case of wave interference, the paths taken by all interfering waves play a crucial role.

Explanation of Options
a) When the paths taken by all of the interfering waves are greater than the coherence length:
- In this scenario, the waves have traveled a significant distance, resulting in a large path difference.
- The phase difference between the waves may vary significantly, leading to destructive interference rather than strong interference.
- Therefore, option 'a' is not the correct answer.

b) When the paths taken by all of the interfering waves are lesser than the coherence length:
- When the paths taken by the interfering waves are shorter than the coherence length, the waves maintain a constant phase relationship.
- The waves interfere constructively, resulting in strong interference.
- This option is correct because a shorter path difference allows for a more significant overlap of the waves, enhancing constructive interference.

c) When the paths taken by all of the interfering waves are equal to the coherence length:
- When the paths are exactly equal to the coherence length, the waves may or may not interfere constructively.
- The phase difference between the waves is highly dependent on the specific conditions.
- Therefore, option 'c' cannot be considered the correct answer.

d) When the paths taken by all of the interfering waves are independent of the coherence length:
- If the paths are independent of the coherence length, it means that the waves have not traveled a distance related to the coherence length.
- The interference pattern may be influenced by other factors, but it is not directly related to the coherence length.
- Hence, option 'd' is not the correct answer.

Conclusion
In conclusion, the correct answer is option 'b' - when the paths taken by all of the interfering waves are lesser than the coherence length. This ensures that the waves maintain a constant phase relationship and can interfere constructively, resulting in strong interference.
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When is the wave interference strong?a)When the paths taken by all of ...
Coherence length is defined as the propagation distance over which a coherent wave maintains a specified degree of coherence. Wave interference is strong when the paths taken by all of the interfering waves are lesser than the coherence length.
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Read the following text and answer the following questions on the basis of the same:In one of his experiments on interference, August Jean Fresnel used a biprism to induce interference between two beams. He split a diverging beam of light into two parts by using the biprism to refract them. This resulted in two split beams which acted as if they were from two coherent sources and which therefore interfered with each other.A Fresnel Biprism is a thin double prism placed base to base and have very small refracting angle ( 0.5°). This is equivalent to a single prism with one of its angle nearly 179° and other two of 0.5° each.In Young’s double Slits experiment, a single source is split in two coherent sources. For the Young’s slits experiment, we must approximate that the slits act as point sources. This however is not the case, since the slits have finite width. In this way, it gives rise to unwanted diffraction effects that causes errors.The Fresnel biprism experiment overcomes this problem.A Fresnel biprism is a variation of Young’s Slits experiment. When monochromatic light through a narrow slit falls on biprism that divides it into two components. One of these component is refracted from upper portion of biprism and the other one refracted through lower portion. Two virtual coherent sources formed from the original source. In this case, two virtual coherent sources are point sources and replace slits in Young’s experiment.Q. Which problem of Young’s double slit experiment is overcome by Fresnel biprism?

Read the following text and answer the following questions on the basis of the same: In one of his experiments on interference, August Jean Fresnel used a biprism to induce interference between two beams. He split a diverging beam of light into two parts by using the biprism to refract them. This resulted in two split beams which acted as if they were from two coherent sources and which therefore interfered with each other. A Fresnel Biprism is a thin double prism placed base to base and have very small refracting angle ( 0.5°). This is equivalent to a single prism with one of its angle nearly 179° and other two of 0.5° each. In Young’s double Slits experiment, a single source is split in two coherent sources. For the Young’s slits experiment, we must approximate that the slits act as point sources. This however is not the case, since the slits have finite width. In this way, it gives rise to unwanted diffraction effects that causes errors. The Fresnel biprism experiment overcomes this problem. A Fresnel biprism is a variation of Young’s Slits experiment. When monochromatic light through a narrow slit falls on biprism that divides it into two components. One of these component is refracted from upper portion of biprism and the other one refracted through lower portion. Two virtual coherent sources formed from the original source. In this case, two virtual coherent sources are point sources and replace slits in Young’s experiment. Q. What is the difference between the coherent sources produced by Young’s double slit arrangement and Fresnel biprism?

When is the wave interference strong?a)When the paths taken by all of the interfering waves are greater than the coherence lengthb)When the paths taken by all of the interfering waves are lesser than the coherence lengthc)When the paths taken by all of the interfering waves are equal than the coherence lengthd)When the paths taken by all of the interfering waves are independent of the coherence lengthCorrect answer is option 'B'. Can you explain this answer?
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When is the wave interference strong?a)When the paths taken by all of the interfering waves are greater than the coherence lengthb)When the paths taken by all of the interfering waves are lesser than the coherence lengthc)When the paths taken by all of the interfering waves are equal than the coherence lengthd)When the paths taken by all of the interfering waves are independent of the coherence lengthCorrect answer is option 'B'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about When is the wave interference strong?a)When the paths taken by all of the interfering waves are greater than the coherence lengthb)When the paths taken by all of the interfering waves are lesser than the coherence lengthc)When the paths taken by all of the interfering waves are equal than the coherence lengthd)When the paths taken by all of the interfering waves are independent of the coherence lengthCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for When is the wave interference strong?a)When the paths taken by all of the interfering waves are greater than the coherence lengthb)When the paths taken by all of the interfering waves are lesser than the coherence lengthc)When the paths taken by all of the interfering waves are equal than the coherence lengthd)When the paths taken by all of the interfering waves are independent of the coherence lengthCorrect answer is option 'B'. Can you explain this answer?.
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