Q145 / 180 · AIIMS 2016 · Physics
Light wave enters from medium 1 to medium 2. Its velocity in $2^{\text {nd }}$ medium is double from $1^{\text {st }}$. For total internal reflection the angle of incidence must be greater than
- Correct answerA$30^{\circ}$
- B$60^{\circ}$
- C$45^{\circ}$
- D$90^{\circ}$
Solution
Total internal reflection occurs when the angle of incidence is greater than critical angle (C) in the denser medium.

${ }^1 \mu_2=\frac{\text { Velocity of light in medium '1' }}{\text { Velocity of light in medium ' } 2}$ ' ${ }^1 \mu_2=\frac{v}{2 v}=\frac{1}{2}$. Medium ' 1 ' is denser. or $\sin C=\frac{1}{2}=\sin 30^{\circ}$ or $C=30^{\circ}$.

${ }^1 \mu_2=\frac{\text { Velocity of light in medium '1' }}{\text { Velocity of light in medium ' } 2}$ ' ${ }^1 \mu_2=\frac{v}{2 v}=\frac{1}{2}$. Medium ' 1 ' is denser. or $\sin C=\frac{1}{2}=\sin 30^{\circ}$ or $C=30^{\circ}$.
Hence, the correct answer is option: 'A'.