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JEE Main 202624 JanuaryMorning Shift
Exam
JEE Main
Year
2026
Date
24 January
Shift
Morning Shift
Subject
Physics
Chapter
Wave Optics

JEE Main 2026 · 24 January · Morning Shift · Physics · Wave Optics

An unpolarised light is incident at an interface of two dielectric...

An unpolarised light is incident at an interface of two dielectric media having refractive indices of 2 (incident medium)and23and 2 \sqrt{3} (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is ____\_\_\_\_.

Options

  1. A45∘45^{\circ}
  2. B60∘60^{\circ}
  3. C10∘10^{\circ}
  4. D30∘30^{\circ}

Correct answer

B. 60∘60^{\circ}

Step-by-step solution

For reflected and refracted rays to be perpendicular, if ii is the angle of incidence and rr is the angle of refraction, then i+r=90°i + r = 90°, giving r=90°−ir = 90° - i.
Applying Snell's law: n1sin⁡i=n2sin⁡rn_1 \sin i = n_2 \sin r
2sin⁡i=23sin⁡(90°−i)2 \sin i = 2\sqrt{3} \sin(90° - i)
2sin⁡i=23cos⁡i2 \sin i = 2\sqrt{3} \cos i
tan⁡i=3\tan i = \sqrt{3}
i=60°i = 60°
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