JAMB 2013 Physics · Question 22

Total internal reflection will not occur when light travels from

Options

  1. A.water to air
  2. B.water into glass
  3. C.glass to air
  4. D.glass into water

Answer: B. water into glass

Explanation written with AI and checked against the answer key

Analyze the question We need the situation where total internal reflection (TIR) is impossible.

Concept TIR happens only when:

  1. Light travels from a denser medium to a less dense (rarer) medium, meaning from higher refractive index to lower refractive index.
  2. The angle of incidence is greater than the critical angle, where sin C = n₂/n₁ (n₁ > n₂).

If light goes from a rarer to a denser medium, it bends toward the normal and no critical angle exists, so TIR cannot occur.

Refractive indices (approximate)

  • Air: 1.00
  • Water: 1.33
  • Glass: about 1.5

Check each option

  • A. Water to air: 1.33 → 1.00 (dense to rare). TIR is possible.
  • B. Water into glass: 1.33 → 1.5 (rare to dense). TIR is not possible.
  • C. Glass to air: 1.5 → 1.00 (dense to rare). TIR is possible.
  • D. Glass into water: 1.5 → 1.33 (dense to rare). TIR is possible. The critical angle is C = sin⁻¹(1.33/1.5) ≈ 62.5°.

Answer Water into glass is the only case where light moves from a less dense to a more dense medium, so total internal reflection cannot occur.

Tip Remember: "TIR only goes from Dense to Rare." If the light is entering a medium with a higher refractive index, rule it out immediately. In multiple-choice questions, compare the refractive indices and look for the option where n increases.

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