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Calculate the depth of a swimming pool if the apparent depth is 10cm(refractive index of...

Physics
JAMB 2025

Calculate the depth of a swimming pool if the apparent depth is 10cm(refractive index of water is 1.33)

  • A. 7.5cm
  • B. 10.0cm
  • C. 13.3cm
  • D. 6.87cm
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Correct Answer: Option C
Explanation

The apparent depth of an object in water (as viewed from air) is less than the real depth due to refraction. The relationship is given by:

\(\mu = \frac{\text{Real depth}}{\text{Apparent depth}}\)

where \(\mu\) is the refractive index of water (\(\mu = 1.33\)).

Rearranging for real depth: \(\text{Real depth} = \mu \times \text{Apparent depth} = 1.33 \times 10 \, \text{cm} = 13.3 \, \text{cm}\)

There is an explanation video available below.


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Explanation Video

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