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Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.
Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.
Reason (R): For interference, the sources must be coherent.
  • a)
    Both A and R are true and R is the correct explanation of A
  • b)
    Both A and R are true but R is NOT the correct explanation of A
  • c)
    A is true but R is false
  • d)
    A is false and R is true
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Directions : In the following questions, A statement of Assertion(A) ...
For destructive interference, a = a1 ~ a2. When a1 = a2, only the minima will be completely dark. This will create the best contrast. So the assertion is true.
For interference, the sources must be coherent. Reason is also true. But the reason does not explain the assertion.
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Most Upvoted Answer
Directions : In the following questions, A statement of Assertion(A) ...
Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.

Reason (R): For interference, the sources must be coherent.

To understand why Option B is the correct answer, let's analyze Assertion (A) and Reason (R) separately.

Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.

In Young's double slit experiment, light waves from two coherent sources pass through two small slits and interfere with each other. The interference pattern is formed due to the superposition of these waves. When the amplitudes of the two waves are equal, the maxima and minima of the interference pattern are well-defined and distinct. If the amplitudes are not equal, the interference pattern will be distorted, and the contrast between the maxima and minima will be reduced. Therefore, to obtain the best contrast between the maxima and minima in the interference pattern, the amplitudes of the light waves emerging from the two sources should be equal.

Reason (R): For interference, the sources must be coherent.

To observe interference, the sources of light waves must be coherent. Coherence refers to the constant phase relationship between the waves. When the light waves from the two sources are coherent, they maintain a constant phase relationship, which allows them to interfere constructively or destructively at different points in space. This interference results in the formation of an interference pattern. If the sources are not coherent, the phase relationship between the waves keeps changing, and the interference pattern cannot be formed. Therefore, for interference to occur, the sources must be coherent.

Explanation:

Both Assertion (A) and Reason (R) are true. The amplitudes of light waves emerging from the two sources should be equal to obtain the best contrast between the maxima and minima in the interference pattern, as stated in Assertion (A). The reason behind this is that when the amplitudes are equal, the superposition of the waves leads to well-defined and distinct maxima and minima in the interference pattern.

Furthermore, Reason (R) correctly states that for interference to occur, the sources must be coherent. Coherence ensures a constant phase relationship between the waves, allowing them to interfere constructively or destructively and form an interference pattern.

Therefore, both Assertion (A) and Reason (R) are true, and Reason (R) provides the correct explanation for Assertion (A).
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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. Base angles of Fresnel biprism are

Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.Reason (R): For interference, the sources must be coherent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.Reason (R): For interference, the sources must be coherent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.Reason (R): For interference, the sources must be coherent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, A statement of Assertion(A) is followed by a statement of Reason (R). Mark the correct choice as.Assertion (A): For best contrast between maxima and minima in the interference pattern of Young’s double slit experiment, the amplitudes of light waves emerging from the two sources should be equal.Reason (R): For interference, the sources must be coherent.a)Both A and R are true and R is the correct explanation of Ab)Both A and R are true but R is NOT the correct explanation of Ac)A is true but R is falsed)A is false and R is trueCorrect answer is option 'B'. Can you explain this answer?.
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