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Q. 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 ?

Ray Optics and Optical Instruments

Solution:

$\,{}^an_g=\,{}^an_w \times \,{}^wn_g=\frac{4}{3} \times \frac{\lambda_w}{\lambda_g}=\frac{4}{3} \times \frac{5}{4}=\frac{5}{3}$