Question

As the velocity of light increases, the refractive index of the medium decreases. Light enters from air to water having refractive index 4/3. Find the speed of light in water. The speed of light in vacuum is 3 x108 ​

Answer 1

Answer:

2.25x108 m/s is the answer of give questions...

Answer 2

Answer:

The velocity of light in water is $2.25 \times 10^{8}$ m/s.

Explanation:

Refractive Index is given by the ratio of the velocity of light in air/vacuum to the velocity of light in water.

Given Data :

Refractive Index of water = Velocity of light in air/Velocity of light in water = 4/3.

Light's velocity in a vacuum = 3 × $10^{8}$ m/s

To Find :

The velocity of light in water.

Formula To Be Used:

Refractive Index  $n = \frac{v_{air} }{v_{medium} }$

Calculations:

The formula for refractive index (n)

Refractive Index of water  $n = \frac{v_{air} }{v_{water} }$

Now, Putting all the values in the above equation, we have

$\frac{4}{3} = \frac{3 \times 10^{8} }{ v_{water} }$

$v_{water} = \frac{3 \times 3 \times10^{8} }{4} = 2.25 \times 10^{8} mps$

As a result, the velocity of light in water is $2.25 \times 10^{8}$ m/s.

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