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The absolute refractive indices of glass and water are \(\frac{3}{2}\) and \(\frac{4}{3}\) respectively. The refractive...

Physics
JAMB 1981

The absolute refractive indices of glass and water are \(\frac{3}{2}\) and \(\frac{4}{3}\) respectively. The refractive index at the interface when a ray travels from water to glass is

  • A. \(\frac{1}{2}\)
  • B. \(\frac{8}{9}\)
  • C. \(\frac{9}{8}\)
  • D. \(\frac{17}{12}\)
  • E. 2
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Correct Answer: Option C
Explanation

Ray travelling from water to glass;

\(\frac{\text{speed of light in air}}{\text{speed of light in glass}}\) = \(\frac{3}{2}\)

= 3 x 108ms-1

X = 2 x 108ms-1

\(\frac{\text{speed of light in air}}{\text{speed of light in water}}\) = \(\frac{4}{3}\)

= \(\frac{3 \times 10^8}{g}\)

Y = 2.25 x 108ms-1

from water to glass;

Refractive = \(\frac{\text{speed of light in water}}{\text{speed of light in glass}}\)

= \(\frac{2.25 \times 10^8}{2.00 \times 10^8}\)

= 1.125

= \(\frac{9}{8}\)


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