MCQ
Light wave enters from medium $1$ to medium $2.$ Its velocity in $2$ medium is double from $1.$ For total internal reflection the angle of incidence must be greater than
  • $30^{\circ}$
  • B
    $60^{\circ}$
  • C
    $45^{\circ}$
  • D
    $90^{\circ}$

Answer

Correct option: A.
$30^{\circ}$
$\frac{\mu_2}{\mu_1}=\frac{v_1}{v_2}=\frac{1}{2} \Rightarrow \frac{\mu_1}{\mu_2}=2\left(\mu_1>\mu_2\right)$
For total internal reflection
${ }_2 \mu_1=\frac{1}{\sin C} \Rightarrow \frac{\mu_1}{\mu_2}$
$=\frac{1}{\sin C} \Rightarrow 2=\frac{1}{\sin C} \Rightarrow C=30^{\circ}$
So, for total (Internal reflection angle of incidence must be greater than $30^{\circ}$.

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