Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Ray Optics

Question:

For a prism kept in air it is found that for an angle of incidence 60°, the angle of prism 'A', angle of deviation '$\delta$' and angle of emergence 'e' become equal. Then the refractive index of the prism is

Options:

1.73

1.15

1.5

1.33

Correct Answer:

1.73

Explanation:

Given i = 60° and A = $\delta$ = e

$\delta=i+e-A \Rightarrow \delta=i$ (∵ e = A)

$\mu=\frac{\sin \left(\frac{A+\delta_m}{2}\right)}{\sin \frac{A}{2}}$ Here angle of deviation $(\delta)$ is minimum (∵ i = e)

$\mu=\frac{\sin \left(\frac{60^{\circ}+60^{\circ}}{2}\right)}{\sin \left(60^{\circ} / 2\right)}=1.732$