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Physics Question on Ray optics and optical instruments

A glass slab of thickness 4 cm contains the same numbers of waves as 5 cm of water when both are traversed by the same monochromatic ray of light. The refractive index of water is 4/3, what is that for glass ?

A

44684

B

44685

C

16/15

D

44622

Answer

44684

Explanation

Solution

 ang= anw× wng=43×λwλg=43×54=53\,^an_g=\,^an_w \times \,^wn_g=\frac{4}{3} \times \frac{\lambda_w}{\lambda_g}=\frac{4}{3} \times \frac{5}{4}=\frac{5}{3}