Question

the refractive indexes of Glass and water with respect to air are 3 by 2 and 4 by 3 respectively if the speed of the light in glass is 2 into 10 to the power 8 metre per second find the speed of light in water ​

Answer 1

Answer:

ok

look at picture is the answer

Answer 2

Refractive index of glass wrt. air = 3/2

Refractive index of water wrt. air = 4/3

$\frac{Speed \:of\: light\: in\: air}{speed \:of\: light \:in \:glass} = \frac{3}{2}$

=>$\frac{Speed\: of\: light\: in \:air}{2 × 10^8} = \frac{3}{2}$

=> $Speed \:of \:light \:in\: air$= $3 × 10^8$

Now,

$\frac{Speed \:of \:light\: in\: air}{speed\: of\: light \:in\: water} = \frac{4}{3}$

=> $\frac{3 × 10^8}{speed\: of \:light\: in \:water} = \frac{4}{3}$

=> Speed of light in water = $\frac{9 × 10^8}{4}$

=> Speed of light in water = $\fbox{ 2.25× 10^8 }$