A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness 4 cm is the same as in water column of height 5 cm. If refractive index of glass is 5/3 then refractive index of water is (a) 1.33 (b) 1.30 (c) 1.25 (d) 1.10

Answer: (a). Number of waves N = (μ t)/(λ₀), so equal N means μg tg = μw tw. 5/3 × 4 = μw × 5. μw = 4/3 = 1.33. So the answer is (a) 1.33.

A monochromatic ray of light travels through glass slab and water… | MHT CET 2021 (24 Sep, Shift 2)

Q57MHT CET 2021 · 24 SEP · SHIFT 2Medium

Refraction, Glass Slab & Apparent Depth

A monochromatic ray of light travels through glass slab and water column. The number of waves in glass slab of thickness $4\text{ cm}$ is the same as in water column of height $5\text{ cm}$ . If refractive index of glass is $\frac{5}{3}$ then refractive index of water is

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Answer: (a)

Number of waves $N = \dfrac{\mu t}{\lambda_0}$ , so equal $N$ means $\mu_g t_g = \mu_w t_w$ .
$\dfrac{5}{3} \times 4 = \mu_w \times 5$ .
$\mu_w = \dfrac{4}{3} = 1.33$ .
So the answer is (a) 1.33.

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