What is the lateral shift of a ray refracted through a parallel-sided glass slab of thickness ' ' in terms of the angle of incidence ' ' and angle of refraction ' ', if the glass slab is placed in air medium ?
- (A)
- (B)
- (C)h
- (D)✓ Correct
Answer: (D)
Solution
Consider a ray incident at angle on a parallel-sided slab of thickness , refracting to angle inside the slab, and emerging parallel to the original incident ray but laterally displaced.
The ray travels a path length through the glass at angle to the normal, while the direction it would have taken without the slab differs from this internal path by the angle . The perpendicular (lateral) displacement between the incident ray's original direction and the emergent ray therefore works out to
The ray travels a path length through the glass at angle to the normal, while the direction it would have taken without the slab differs from this internal path by the angle . The perpendicular (lateral) displacement between the incident ray's original direction and the emergent ray therefore works out to
JEE Main · 2025 · 23 Jan 2025 · Shift 1 · Single correct option