Question

estion:-
The refractive index of water w.r.t.air is 1.33.Find the
velocity of light in air ifthe velocity of light in air is
3x10 m/secthis

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Answer 1

Answer:

Explanation:

n = c / v" "c" is the speed of light in a vacuum, "v" is the speed of light in that substance and "n" is the index of refraction

V= c/n= 3x10^8 /m/s / 1.33

= 2.25 10^8 / m/s

Answer 2

Answer:

Given refractive index of water with respect to air is 1.33

So the question is about to find the velocity of the light in water if the velocity of the light in air is

$\red{3 \times 10 ^{8} m \: per \: s}$

So for this we first need to apply the formula

$\bold{ \red{refractive \: index \: = \frac{speed \: of \: light \: in \: air}{speed \: of \: light \: in \: water} }}$

So let us apply the formula

$= > 1.33 = \frac{3 \times 10 ^{8} }{speed \: of \: light \: in \: water}$

$= > speed \: of \: light \: in \: water \times 1.33 = 3 \times 10^{8} \\ \\ = > speed \: of \: light \: in \: water \: = \frac{3 \times 10 ^{8} }{1.33}$

$= > seed \: of \: light \: in \: water = \frac{3 \times 10 ^{8} \times 100 }{133} \\ \\ = > speed \: o \: light \: in \: water \: = \frac{3 \times 10 ^{10} }{133} \\ \\ = \boxed{\red{ speed \: of \: light \: in \: water \: = 0.02 \times 10 ^{10} m \: per \: s}}$