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Olympiad workbook
Exam
Olympiad workbook
Subject
NSEP
Chapter
Ray Optics

Olympiad workbook · NSEP · Ray Optics

A parallel beam of light is made incident (as shown) on the flat...

A parallel beam of light is made incident (as shown) on the flat diametric plane of a transparent semi-circular thin sheet of thickness t(t≪R)t(t \ll R) of refractive index μ=2\mu=\sqrt{2} at an angle of 45∘45^{{}^{{}^{\circ}}}. As a result of refraction, the light enters the semi-circular sheet and comes out at its curved surface. A parallel beam of light is made incident (as shown) on the flat diametric plane of a transparent semi-circular thin

Options

  1. ALight rays come out at the curved surface for values of θ\theta in the range 75∘≤θ≤165∘75^{{}^{{}^{\circ}}} \leq \theta \leq 165^{{}^{{}^{\circ}}}.
  2. BThe range of angle θ\theta is independent of the angle of incidence.
  3. CThe range of angle θ\theta depends on the refractive index of the material
  4. DAll the emergent rays of light shall cross the line OP which is a refracted ray at θ=120∘\theta=120^{{}^{{}^{\circ}}} Here θ\theta is the angle between the vertical diameter AB and the concerned radius of the semicircular sheet of radius RR.

Correct answer

D. All the emergent rays of light shall cross the line OP which is a refracted ray at θ=120∘\theta=120^{{}^{{}^{\circ}}} Here θ\theta is the angle between the vertical diameter AB and the concerned radius of the semicircular sheet of radius RR.

Step-by-step solution

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