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NDA 2026
Exam
NDA
Year
2026
Subject
General Ability
Chapter
General Science

NDA 2026 · General Ability · General Science

A light ray is falling on a face of an equilateral glass prism as...

A light ray is falling on a face of an equilateral glass prism as shown in the figure:
A light ray is falling on a face of an equilateral glass prism as shown in the figure: Which one of the following
Which one of the following diagrams correctly shows the complete path of the ray through the glass prism?

Options

  1. AIn a series LCR circuit, the inductance L is 10 mH, capacitance C is 100 μ F and resistance R is 20 . The frequency at
  2. BIn a series LCR circuit, the inductance L is 10 mH, capacitance C is 100 μ F and resistance R is 20 . The frequency at
  3. CIn a series LCR circuit, the inductance L is 10 mH, capacitance C is 100 μ F and resistance R is 20 . The frequency at
  4. DIn a series LCR circuit, the inductance L is 10 mH, capacitance C is 100 μ F and resistance R is 20 . The frequency at

Correct answer

D. In a series LCR circuit, the inductance L is 10 mH, capacitance C is 100 μ F and resistance R is 20 . The frequency at

Step-by-step solution

When the light ray falls perpendicularly on the first face of the equilateral glass prism, its angle of incidence is 0∘0^{\circ}. Thus, it enters the prism undeviated.

In the triangle formed at the top vertex, the angle of the prism is 60∘60^{\circ}, and the angle at the first face is 90∘90^{\circ}. The angle between the ray inside the prism and the second face is 180∘−(90∘+60∘)=30∘180^{\circ} - (90^{\circ} + 60^{\circ}) = 30^{\circ}.

The normal to the second face makes an angle of 90∘90^{\circ} with the surface. The angle of incidence at the second face is 90∘−30∘=60∘90^{\circ} - 30^{\circ} = 60^{\circ}.

The critical angle for a glass-air interface is approximately 42∘42^{\circ}. Since the angle of incidence (60∘60^{\circ}) is greater than the critical angle, the ray undergoes total internal reflection.

By the law of reflection, the angle of reflection is 60∘60^{\circ}, so the reflected ray makes an angle of 30∘30^{\circ} with the second face.

In the triangle formed by the reflected ray, the second face, and the base, the prism's rightmost angle is 60∘60^{\circ}. The angle the ray makes with the second face is 30∘30^{\circ}. Therefore, the angle at which the ray strikes the base is 180∘−(60∘+30∘)=90∘180^{\circ} - (60^{\circ} + 30^{\circ}) = 90^{\circ}.

Since the reflected ray strikes the base perpendicularly, its angle of incidence at the base is 0∘0^{\circ}, and it emerges from the prism undeviated.

This complete path is correctly represented in the diagram corresponding to option (4).
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