Q127 / 180 · COMEDK 2026 (9 May Shift 2) · Physics
The critical angle for a typical glass air interface is $42^\circ$. If a ray of light falls normally on one of the faces of the prism of angle $45^\circ$. The emergent ray will:
- AWill pass parallel to the second surface
- Correct answerBUndergo total internal reflection from the second face
- CWill undergo refraction with a refracting angle $45^\circ$
- DGo undeviated
Solution
Given critical angle $C = 42^\circ$.
Angle of prism $A = 45^\circ$.
Since the ray falls normally on the first face, the angle of incidence $i_1 = 0^\circ$.
Thus, the angle of refraction at the first face $r_1 = 0^\circ$.
Using the relation for a prism, $r_1 + r_2 = A$.
Substituting the values, $0^\circ + r_2 = 45^\circ \Rightarrow r_2 = 45^\circ$.
The angle of incidence at the second face is $45^\circ$.
Since $r_2 > C$ ($45^\circ > 42^\circ$), the ray will undergo total internal reflection at the second face.
Answer: Undergo total internal reflection from the second face
Angle of prism $A = 45^\circ$.
Since the ray falls normally on the first face, the angle of incidence $i_1 = 0^\circ$.
Thus, the angle of refraction at the first face $r_1 = 0^\circ$.
Using the relation for a prism, $r_1 + r_2 = A$.
Substituting the values, $0^\circ + r_2 = 45^\circ \Rightarrow r_2 = 45^\circ$.
The angle of incidence at the second face is $45^\circ$.
Since $r_2 > C$ ($45^\circ > 42^\circ$), the ray will undergo total internal reflection at the second face.
Answer: Undergo total internal reflection from the second face
Hence, the correct answer is option: 'B'.