SATHEE: Optics Question 985

Optics Question 985

Question: Material A has critical angle $i_{A},$ and material B has critical angle $i_{B} (i_{B} > i_{A}) .$ Then which of the following is true (i) Light can be totally internally reflected when it passes from B to A (ii) Light can be totally internally reflected when it passes from A to B (iii) Critical angle for total internal reflection is $i_{B} - i_{A}$ (iv) Critical angle between A and B is $\sin^{- 1} (\frac{\sin i_{A}}{\sin i_{B}})$

[UPSEAT 2004]

Options:

A) (i) and (iii)

B) (i) and (iv)

C) (ii) and (iii)

D) (ii) and (iv)

Show Answer

Answer:

Correct Answer: D

Solution:

We know $C = \sin^{- 1} (\frac{1}{μ})$ .

Given critical angle $i_{B} > i_{A}$ .

So $μ_{B} < μ_{A}$ i.e. B is rarer and A is denser.

Hence light can be totally internally reflected when it passes from A to B

Now critical angle for A to B $C_{A B} = \sin^{- 1} (\frac{1}{_{B} μ_{A}})$

$= \sin^{- 1} [_{A} μ_{B}]$

$= \sin^{- 1} [\frac{μ_{B}}{μ_{A}}]$

$= \sin^{- 1} [\frac{\sin i_{A}}{\sin i_{B}}]$

Optics Question 985

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Optics Question 985

Options:

Answer:

Solution:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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