Target Exam

CUET

Subject

Physics

Chapter

Ray Optics

Question:

An equilateral prism is made of material of refractive index $\sqrt{3}$. Angle of minimum deviation through the prism is:

Options:

60°

30°

45°

Correct Answer:

60°

Explanation:

The correct answer is Option (1) → 60°

To calculate the angle of minimum deviation,

Refractive index, $μ=\frac{\sin\left(\frac{A+δ_{min}}{2}\right)}{\sin\left(\frac{A}{2}\right)}$

for an equilateral prism: $A=60°$

$⇒\sin\left(\frac{A+δ_{min}}{2}\right)=μ\sin\left(\frac{A}{2}\right)$

$⇒\sin\left(\frac{A+δ_{min}}{2}\right)=\sqrt{3}×\frac{1}{2}=\frac{\sqrt{3}}{2}$

$⇒\frac{A+δ_{min}}{2}=60°$

$⇒δ_{min}=120-A=60°$