First slide

Ray optics

Question

A 12 cm thick slab of a transparent material contains same number of waves 10 cm thick slab of glass having refractive index 1.5 when both are traversed normally by the same monochromatic light. Then the refractive index of the transparent material is

Easy

A

1.42
B

1.66
C

1.25
D

1.36

Solution

If n be the number of waves and $λ$ be the wavelength in vacuum, then
$n = \frac{12}{(λ / μ)} = \frac{10}{(λ / 1.5)} \Rightarrow μ = \frac{10 \times 1.5}{12} = 1.25$

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