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
Correct Answer: 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 = \(\frac{9}{8}\)