Two glass plates of refractive indices 1.5 and 1.6 are introduced in the paths of the two interfering beams in an interference experiment. If the central fringe is not shifted. The ratio of the thickness of the plates is

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Two glass plates of refractive indices 1.5 and 1.6 are introduced in the paths of the two interfering beams in an interference experiment. If the central fringe is not shifted. The ratio of the thickness of the plates is

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6 : 5

5 : 6

1 : 2

2 : 1

answer is A.

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Detailed Solution

$(μ_{1} - 1) t_{1} = (μ_{2} - 1) t_{2} \Rightarrow \frac{t_{1}}{t_{2}} = \frac{(μ_{2} - 1)}{(μ_{1} - 1)} = \frac{0 .6}{0 .5} = \frac{6}{5}$

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