A ray of light enters at grazing angle of incidence into an assembly of three isosceles right-angled prisms having refractive indices μ1=√2,μ2=√x and μ3=√3 . If finally emergent light ray also emerges at grazing angle then calculate x :
A
5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is A 3 Apply Snell's law on various surfaces one by one :
1 sin 90∘=μ1 sin r1⇒ sin r1=1√2⇒r1=45∘
We have the incident angle for the second interface given using the relation sini2=cosr1 Thus we get