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Referring to the Young’s double slit experiment, Phase difference corresponding to a Path Difference of λ /3 is
  • a)
    90DC
  • b)
    180
  • c)
    60
  • d)
    120
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Referring to the Young’s double slit experiment, Phase differenc...
We know that,
Phase difference=K× path difference. K=2π/ λ.
Therefore, phase difference=(2π/ λ) ×( λ/3)=2π/3=120 degree.
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Community Answer
Referring to the Young’s double slit experiment, Phase differenc...
Phase difference corresponding to a Path Difference of λ/3 is 120°.

Explanation:

The Young's double-slit experiment is a classic experiment that demonstrates the wave nature of light. In this experiment, a beam of light passes through two narrow slits, creating two coherent sources of light. The light waves from these two slits interfere with each other, resulting in an interference pattern on a screen placed behind the slits.

Path Difference and Phase Difference:
When light waves from the two slits reach a point on the screen, they interfere with each other. The path difference is the difference in the distances traveled by the two waves from the slits to that point on the screen. The path difference can be calculated using the formula:

Path Difference = d × sin(θ)

where d is the separation between the slits and θ is the angle between the line joining the point on the screen to the center of the double-slit and the line joining the center of the double-slit to one of the slits.

The phase difference is related to the path difference and the wavelength of light. The phase difference is given by the formula:

Phase Difference = (2π/λ) × Path Difference

where λ is the wavelength of light.

Calculating the Phase Difference:
Given that the path difference is λ/3, we can substitute this value into the formula for phase difference:

Phase Difference = (2π/λ) × (λ/3)

Simplifying the expression:

Phase Difference = (2π/3)

Converting the phase difference into degrees:

Phase Difference = (2π/3) × (180/π)

Phase Difference = 120°

Therefore, the correct answer is option 'D' - 120.
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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. What is the difference between the coherent sources produced by Young’s double slit arrangement and Fresnel biprism?

Referring to the Young’s double slit experiment, Phase difference corresponding to a Path Difference ofλ/3 isa)90∘DCb)180∘c)60∘d)120∘Correct answer is option 'D'. Can you explain this answer?
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