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A submarine is observed to rise from a real depth of 80 m to 60...

Physics
JAMB 2006

A submarine is observed to rise from a real depth of 80 m to 60 m in water. Calculate the change in apparent depth.
[Refraction index of water \(\frac{4}{3}\)]

  • A. 45 m
  • B. 80 m
  • C. 15 m
  • D. 60 m
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Correct Answer: Option C
Explanation

Refraction index (n) = \(\frac{\text{Real depth}}{\text{App. depth}}\)
For 80 m Real depth: \(\frac{4}{3}\) = \(\frac{80}{\text{App.depth}}\)
App. dept = \(\frac{80 \times 3}{4}\) = 60 m
For 60 m real depth; \(\frac{4}{3}\) = \(\frac{60}{\text{App.depth}}\)
App. depth = \(\frac{60 \times 3}{4}\) = 45 m
∴change in App. depth = 60 - 45 = 15 m

There is an explanation video available below.


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Explanation Video

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