KCET · Physics · Ray Optics
A ray of light is incident normally on one face of a right angled isosceles prism. It then grazes the hypotenuse. The refractive index of the material of the prism is
- A \(1.33\)
- B \(1.414\)
- C \(1.5\)
- D \(1.732\)
Answer & Solution
Correct Answer
(B) \(1.414\)
Step-by-step Solution
Detailed explanation
Refractive index, \(\mu=\frac{1}{\sin C}\),
where \(C\) is the critical angle
Here,
\[
\begin{aligned}
&C=45^{\circ} \\
&\mu=\frac{1}{\sin 45^{\circ}} \text { or } \mu=\sqrt{2} \\
&\mu=1.414
\end{aligned}
\]
where \(C\) is the critical angle
Here,
\[
\begin{aligned}
&C=45^{\circ} \\
&\mu=\frac{1}{\sin 45^{\circ}} \text { or } \mu=\sqrt{2} \\
&\mu=1.414
\end{aligned}
\]
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