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O-LevelPhysicsLight5054/22 · May/June 2019 · Q36 Marks

Fig. 3.1 shows three rays of light travelling in water from a light source S. One ray of light is totally internally reflected at the boundary between water and air. [Figure 3.1] (not to scale)

  1. (a)On Fig. 3.1, mark the critical angle and label it c.[1]
  2. (b)State why only one of the three rays is totally internally reflected.[1]
  3. (c)(i)Calculate: the refractive index for water[2]
  4. (c)(ii)Calculate: the critical angle for the boundary between water and air.[2]

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Mark scheme

Marking points from the official mark scheme (May/June 2019). The mark or mark type is shown in brackets.

  1. [B1] middle ray angle of incidence labelled c
  2. [B1] angle of incidence (of right-hand ray only) greater than the critical angle
  3. [C1] (n=) sin i / sin r algebraic or numerical
  4. [A1] 1.3
  5. [C1] sin c = 1/n algebraic or numerical
  6. [A1] answer in range 49° to 50.3°

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About this question

Topic
Light, O-Level Physics (syllabus 5054). Structured question, 6 marks.
Source
O-Level Physics, May/June 2019 Paper 2 Variant 2, question 3.

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