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Question: Answered & Verified by Expert

Young's double-slit experiment is performed in a liquid. The 10th bright fringe in case of the liquid lies where 6th bright fringe lies in a vacuum. The refractive index of the liquid approximately is

PhysicsWave OpticsJEE Main
Options:
  • A 1.8
  • B 1.54
  • C 1.67
  • D 1.2
Solution:
1930 Upvotes Verified Answer
The correct answer is: 1.67
Fringe width in air is given by 

βair=λDd

Fringe width in liquid will be, βliq=λDμd

(as λ liq = λ air μ )

6βair=10βliq

6 λ D d = 1 0 λ D μ d

μ = 1 0 6 = 1.67

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