A ray of light is incident from air on a glass plate having thickness and refractive index . The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is _

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
A ray of light is incident from air on a glass plate having thickness $\sqrt{3} cm$ and refractive index $\sqrt{2}$ . The angle of incidence of a ray is equal to the critical angle for glass-air interface. The lateral displacement of the ray when it passes through the plate is _______ $\times 10^{- 2} cm$ (given $\sin 15 ° = 0.26$ ) [2023]

Ans.
(52)

$\sin i = \sqrt{2} \sin r$

$\sin r = \frac{1}{2} \Rightarrow r = 30 °$

$μ = \frac{1}{\sin c}$

$c = 45 °$

$Lateral displacement, x = \frac{t \sin (i - r)}{\cos r}$

$x = \frac{\sqrt{3} \sin (45 - 30)}{\cos 30 °}$

$= \frac{\sqrt{3} \times \sin 15 °}{(\frac{\sqrt{3}}{2})} = 2 \times 0.26 = 0.52 cm$

$= 52 \times 10^{- 2} cm$

Want Us to Email you About Special Offers & Updates?