Target Exam

CUET

Subject

Physics

Chapter

Ray Optics

Question:

When a ray of light is incident on the face AB of prism normally, after refraction it is found to graze the side AC as shown in the figure, the refractive index of the prism is

Options:

1.5

1.414

1.33

1.73

Correct Answer:

1.414

Explanation:

The correct answer is Option (2) → 1.414

$\text{Normal to }AC\text{ makes }45^\circ\text{ with the horizontal, so }i=45^\circ$

$n\sin i=1\Rightarrow n\sin45^\circ=1$

$n=\frac{1}{\sin45^\circ}=\frac{1}{\frac{\sqrt{2}}{2}}=\sqrt{2}$