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Q.

The refractive index of glass plate is 3/2. Then the correct thickness of glass plate that will permit the same number of wavelengths as that by an 18 cm long column of water is (µ_w = 4 / 3)

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a

12 cm

b

18 cm

c

24 cm

d

16 cm

answer is B.

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Detailed Solution

$μ_{g} = \frac{3}{2}, μ_{w} = \frac{4}{3}, t = nλ$

$\Rightarrow \frac{t'}{t} = \frac{λ'}{λ} = \frac{μ}{μ'}$

$\Rightarrow t' = \frac{4}{3} \times 18 \times \frac{2}{3} = 16$

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