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In a Youngs double slit experiment, the slits are separated by $d = 0.28 \text{ mm}$ and the screen is placed $D = 1.4 \text{ m}$ away. The distance between the central bright fringe and the fourth bright fringe is $y_4 = 1.2 \text{ cm}$. When the apparatus is immersed in a liquid, the fourth bright fringe shifts to $y'_4 = 1.0 \text{ cm}$. Calculate the refractive index $\mu$ of the liquid.

  1. A.1.2
  2. B.1.44
  3. C.1.25
  4. D.1.33
Show correct answer & step-by-step solution

Correct answer: A1.2

Solution

The fringe width becomes in a medium. Thus, , which gives .

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