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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Geometrical Optics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Geometrical Optics

Total internal reflection can occur only when

Total internal reflection can occur only when

Options

  1. Alight travels from an optically rarer medium (lower refractive index) to an optically denser medium
  2. Blight travels from an optically denser medium to a rarer medium
  3. Cthe refractive indices of the two media are nearly equal
  4. Dthe refractive indices of the two media differ significantly

Correct answer

B. light travels from an optically denser medium to a rarer medium

Step-by-step solution

Total internal reflection occurs when a light ray travels from an optically denser medium to an optically rarer medium.

According to Snell's law, μ1sin⁡i=μ2sin⁡r\mu_1 \sin i = \mu_2 \sin r.

For total internal reflection to occur, the angle of refraction rr must reach 90^{}^{{}^{\circ}} for an angle of incidence i < 90^{}^{{}^{\circ}}.

This implies \sin i = \dfrac{\mu_2}{\mu_1} \sin 90^{}^{{}^{\circ}} = \dfrac{\mu_2}{\mu_1}.

Since sin⁡i<1\sin i < 1, we must have μ2<μ1\mu_2 < \mu_1.

Thus, light must travel from a medium of higher refractive index (denser) to a medium of lower refractive index (rarer).
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