SATHEE: Optics Question 826

Optics Question 826

Question: ACB is right - angle prism with other angles as $60^{\circ}$ and $30^{\circ}$ . Refractive index of the prism is 1.5. AB has thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflections, maximum refractive index of the liquid

Options:

A) 1.4

B) 1.3

C) 1.2

D) 1.6

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Clearly, $i_{c} \leq 60^{\circ}$ So, maximum possible value of $i_{c}$ is $60^{\circ}$ . Now, $_{1} μ_{g} = \frac{1}{\sin i_{C}}$

$\frac{μ_{g}}{μ_{i}} = \frac{1}{{s i n i}_{c}} or μ_{1} = μ_{g} {s i n i}_{c} = 1.5 \sin 60^{\circ} = 1.5 \times \frac{\sqrt{3}}{2}$

$= 1.5 \times 0.866 = 1.299 = 1.3$

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Optics Question 826

Question: ACB is right - angle prism with other angles as 60∘ and 30∘ . Refractive index of the prism is 1.5. AB has thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflections, maximum refractive index of the liquid

Options:

Answer:

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Question: ACB is right - angle prism with other angles as $60^{\circ}$ and $30^{\circ}$ . Refractive index of the prism is 1.5. AB has thin layer of liquid on it as shown. Light falls normally on the face AC. For total internal reflections, maximum refractive index of the liquid