Question

Q5. (b) The refractive index of glass and water with respect to air are 3/2 and 4/3 respectively. If speed of light in glass is 2 x 10 m/s. Find the speed of light in water​

Answer 1

Explanation:

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$given. \\ refractive \: index \: of \: glass \: with \: respect \: to \: air \: = \frac{3}{2} \\ \\ refractive \: index \: of \: water \: with \: respect \: to \: air \: = \frac{4}{3} \\ \\ speed \: of \: light \: in \: glass = 2 \times {10}^{8} m |s| \\ \\ applying \: the \: formula \: refractive \: index = \frac{speed \: of \: light \: in \: air \: }{speed \: of \: light \: in \: the \: glass \: } \\ \frac{3}{2} = \frac{speed \: of \: light \: in \: air \: }{2 \times {10}^{8} } m |s \\ \\ on \: calculating \: speed \: of \: light \: in \: air \: = 3 \times {10}^{8} | m |s| \\ \\ similarly \: \\ refractive \: index = \frac{speed \: of \: light \: in \: air \: }{speed \: of \: light \: in \: the \: water \: } \\ \\ \frac{4}{3} = \: \frac{3 \times {10}^{8} }{speed \: of \: light \: in \: water \: } \\ \\ on \: calculating \: speed \: of \: light \: in \: water = 2.25 \times {10}^{8} m |s|$

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