The lateral shift produced by a glass slab during refraction through it, increases with -
(A) the increase in the thickness of the glass slab
(B) the increase in the value of the angle of incidence
(C) the increase in the value of the refractive index of the slab
(D) the increase in the length of the glass slab
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A), (B) and (C) only
The lateral shift $d$ produced by a glass slab is given by:
$d = t \frac{\sin(i - r)}{\cos r}$
where $t$ = thickness, $i$ = angle of incidence, $r$ = angle of refraction, $\mu$ = refractive index.
From the formula:
- (A) $d \propto t$ → Lateral shift increases with thickness → Correct
- (B) $d$ increases with angle of incidence $i$ → Correct
- (C) Higher $\mu$ → smaller $r$ → larger $i-r$ → $d$ increases → Correct
- (D) Length of the slab along the surface does not affect $d$ → Incorrect
∴ Lateral shift increases with A, B, and C