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The optical path of a monochromatic light is same if it goes through 2.00cm of glass or x cm of ruby. If the refractive index of glass is 1.510 and that of ruby is 1.760 find the value of x in cm.


Dona Bhattacharjee 31st Mar, 2020
Answer (1)
Prakarsh Kaushik 31st Mar, 2020

Hello,

Optical Path of monochromatic light = μt

Given μ1 = 1.510, t1 = 2 cm

μ2 = 1.760, t2 = X cm

Since Optical Path is same, μ1 x t1 = μ2 x t2

1.510 x 2 = 1.760 x X

3.02 = 1.760 x X

3.02 / 1.760 = X

1.7159 = X

1.716 cm = X (After Roundoff)


Therefore, The Optical path of a monochromatic light is same if it goes through 2 cm of glass or 1.7159 cm of ruby

Hope this was helpful.

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