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Geometrical Optics question

2022 · Q172
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Geometrical Optics question

2022 · Q172

NEETPhysicsGeometrical OpticsMCQ+4 / −1

Two transparent media A and B are separated by a plane boundary. The speed of light in those media are 1.5 ×\times× 108 m/s and 2.0 ×\times× 108 m/s, respectively. The critical angle for a ray of light for these two media is

  1. A
    sin−-−1 (0.500)
  2. B
    sin−-−1 (0.750)
  3. C
    tan−-−1 (0.500)
  4. D
    tan−-−1 (0.750)
View written solutionFree

Correct answer: B

NEET 2022 Phase 1 Physics - Geometrical Optics Question 17 English Explanation

$${\mu _A} = {{3 \times {{10}^8}} \over {1.5 \times {{10}^8}}} = 2$$

$${\mu _B} = {{3 \times {{10}^8}} \over {2 \times {{10}^8}}} = 1.5$$

For TIR, ray of light should travel from denser to rarer medium

$${\mu _A}\sin {\theta _C} = {\mu _B}\sin 90^\circ $$

$$2\sin {\theta _C} = 1.5\sin 90^\circ $$

$$\sin {\theta _C} = 0.75$$

$${\theta _C} = {\sin ^{ - 1}}(0.75)$$

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