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A coin is placed at the bottom of a cube of glass t cm thick....

Physics
JAMB 1984

A coin is placed at the bottom of a cube of glass t cm thick. If the refractive index of the glass is \(\mu\), how high does the coin appear to be raised to an observer looking perpendicularly into the glass?

  • A. \(\frac{1}{t - \mu}\)
  • B. \(\frac{t(\mu - I)}{\mu}\)
  • C. t (1 + \(\frac{1}{\mu}\))
  • D. -\(\mu\)
  • E. \(\mu\)t
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Correct Answer: Option B
Explanation

Let apparent depth = x

\(\mu\) = \(\frac{t}{x}\) \(\Rightarrow\) x = \(\frac{t}{u}\)

Apparent displacement of coin: s = real depth - apparent depth, s = t - x = t - \(\frac{t}{u}\)

s = \(\frac{\mu t - t}{\mu}\) = \(\frac{t(\mu - 1)}{\mu}\)


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