Question

The speed of light in air is 3*10power8m/s inwater of reflective index 4 by 3 then find the speed of light in water

Answer 1

Answer:

Given:

Speed of light in air = 3 × 10^8 m/s

Refractive Index = 4/3

To find:

Speed of light in water

Concept:

Refractive Index is the ratio of velocity of light(Electromagnetic waves) in air or vacuum to the velocity of light in that medium.

Calculation:

$\therefore \: \mu = \dfrac{vel. \: in \: vacuum}{vel. \: in \: medium}$

$= > \dfrac{4}{3} = \dfrac{3 \times {10}^{8} }{v}$

$= > v = \dfrac{9}{4} \times {10}^{8} \: m {s}^{ - 1}$

$= > v = 2.25 \times {10}^{8} \: m {s}^{ - 1}$

So final answer is :

$\boxed{ \red{ \bold{ \huge{ v = 2.25 \times {10}^{8} \: m {s}^{ - 1} }}}}$

Answer 2

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QUESTION -

The speed of light in air is 3*10power8m/s inwater of reflective index 4 by 3 then find the speed of light in water.

SOLUTION -

$C_{A} = 3 \times { 10 } ^ 8 \: m / s$

$C _{ W } = K$

$\nu_{2}_{1} = \dfrac{ 4}{3}$

$=> \dfrac{ 3 \times { 10 } ^ 8 }{ k } = \dfrac{4}{3}$

$=> k = \dfrac{9}{4} \times { 10 } ^ 8 \: m / s = 2.25 \times { 10 } ^ 8 \: m/s$