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The displacement d produced in a glass block of thickness t and refractive index n...

Physics
JAMB 1998

The displacement d produced in a glass block of thickness t and refractive index n when an object is viewed through it is
  • A. t – n
  • B. t (1 + 1/n)
  • C. t (1-1/n)
  • D. t (1/n - 1)
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Correct Answer: Option C
Explanation
n = \(\frac {\text{real depth}}{\text {apparent depth}{}}\)

n = \(\frac {t}{t-d}\)

\(\frac{t - d}{1}\) = \(\frac{t}{n}\)

-d = \(\frac{t}{n}\) - t

d = - \(\frac{t}{n}\) + t

d = t - \(\frac{t}{n}\)

d =t (1 - \(\frac{1}{n}\))

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