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When the interference occurs with coherent sources, _______ of the superimposingwaves add like _______.
  • a)
    intensities, scalars
  • b)
    amplitudes, vectors
  • c)
    amplitudes, scalars
  • d)
    intensities, vectors
Correct answer is option 'A'. Can you explain this answer?
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When the interference occurs with coherent sources, _______ of the sup...
The answer provided in the forum is wrong, The correct answer would be option A.
Solution:
When the interference occurs with non-coherent sources, intensities of the superimposing waves add like scalars, I = I1 + I2
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When the interference occurs with coherent sources, _______ of the sup...
Interference with Coherent Sources:

Interference with coherent sources occurs when two sources of waves of the same frequency are in phase with each other. In this case, the waves superimpose to create an interference pattern.

Adding of Intensities:

When interference occurs with coherent sources, the intensities of the superimposing waves add like scalars. This means that the intensities of the waves simply add up without considering the direction of the waves.

Explanation:

When two coherent waves superimpose, the resulting intensity at any point is simply the sum of the intensities of the individual waves at that point. This is because the waves are in phase and reinforce each other, leading to an increase in intensity.

For example, if the intensity of one wave is I1 and the intensity of the other wave is I2, the total intensity when they interfere constructively is I1 + I2. This is a scalar sum, as the intensities are added without any consideration for direction.

Therefore, when interference occurs with coherent sources, the intensities of the superimposing waves add like scalars, leading to a specific interference pattern based on the phase relationship between the waves.
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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 the interference occurs with coherent sources, _______ of the superimposingwaves add like _______.a)intensities, scalarsb)amplitudes, vectorsc)amplitudes, scalarsd)intensities, vectorsCorrect answer is option 'A'. Can you explain this answer?
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