Question:

Young’s modulus of elasticity π‘Œ is expressed in terms of three derived quantities, namely, the gravitational constant 𝐺, Planck’s constant β„Ž and the speed of light 𝑐, as π‘Œ = 𝑐 π›Όβ„Ž 𝛽𝐺 𝛾 . Which of the following is the correct option?

Updated On: Jul 8, 2024
  • 𝛼 = 7, 𝛽 = βˆ’1, 𝛾 = βˆ’2
  • 𝛼 = βˆ’7, 𝛽 = βˆ’1, 𝛾 = βˆ’2
  • 𝛼 = 7, 𝛽 = βˆ’1, 𝛾 = 2
  • 𝛼 = βˆ’7, 𝛽 = 1, 𝛾 = βˆ’2
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The Correct Option is A

Solution and Explanation

The correct option is(A): 𝛼 = 7, 𝛽 = βˆ’1, 𝛾 = βˆ’2.
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Concepts Used:

Young’s Double Slit Experiment

  • Considering two waves interfering at point P, having different distances. Consider a monochromatic light source β€˜S’ kept at a relevant distance from two slits namely S1 and S2. S is at equal distance from S1 and S2. SO, we can assume that S1 and S2 are two coherent sources derived from S.
  • The light passes through these slits and falls on the screen that is kept at the distance D from both the slits S1 and S2. It is considered that d is the separation between both the slits. The S1 is opened, S2 is closed and the screen opposite to the S1 is closed, but the screen opposite to S2 is illuminating.
  • Thus, an interference pattern takes place when both the slits S1 and S2 are open. When the slit separation β€˜d β€˜and the screen distance D are kept unchanged, to reach point P the light waves from slits S1 and S2 must travel at different distances. It implies that there is a path difference in the Young double-slit experiment between the two slits S1 and S2.

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