SATHEE: Optics Question 984

Optics Question 984

Question: Glass has refractive index m with respect to air and the critical angle for a ray of light going from glass to air is q. If a ray of light is incident from air on the glass with angle of incidence q, the corresponding angle of refraction is

[MP PMT 2004]

Options:

A) $\sin^{- 1} (\frac{1}{\sqrt{μ}})$

B) $90^{o}$

C) $\sin^{- 1} (\frac{1}{μ^{2}})$

D) $\sin^{- 1} (\frac{1}{μ})$

Show Answer

Answer:

Correct Answer: C

Solution:

$_{a} μ_{g} = \frac{1}{\sin θ}$

$\Rightarrow μ = \frac{1}{\sin θ}$ …..(i) Now from Snell’s law $μ = \frac{\sin i}{\sin r}$

$= \frac{\sin θ}{\sin r}$

$\Rightarrow \sin r = \frac{\sin θ}{μ}$ …..(ii) From equation (i) and (ii) $\sin r = \frac{1}{μ^{2}}$

$\Rightarrow r = \sin^{- 1} (\frac{1}{μ^{2}})$

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Optics Question 984

Question: Glass has refractive index m with respect to air and the critical angle for a ray of light going from glass to air is q. If a ray of light is incident from air on the glass with angle of incidence q, the corresponding angle of refraction is

Options:

Answer:

Solution:

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