Question

8. Velocity of light in air is 3×10^8 m/s. While its velocity in medium is 1.5×10^8 m/s.Then, refractive index of medium is​

Answer 1

Answer:

• 2 is the required refractive index of medium

Explanation:

Given:-

• Velocity of light in air ,c = 3×10⁸ m/s
• Velocity of light in given medium ,v = 1.5×10⁸ m/s

To Find :-

• Refractive Index of that Medium,n ?

Solution :-

As we have been provided the velocity of light in air and velocity of light in medium too. So, simply we will apply here formula .

As we know the relationship between refractive index , velocity of light in vacuum or air & velocity of given medium .

• Refractive index of any medium is calculated by the velocity of light divided velocity of light in given medium .

So, let's calculate the Refractive Index of Medium .

$\implies \: n \: = \frac{c}{v}$

By putting the value we get

$\: \: \: \: \: \: \: \: \implies \: n \: = \frac{3 \times {10}^{8} }{1.5 \times {10}^{8} } \\ \\ \\ \: \implies \: n \: = \frac{3}{1.5} \\ \\ \\ \\ \: \: \: \implies \: n \: = 2$

• Hence, the Refractive Index of the medium will be 2 .

Answer 2

Answer:

Question :-

• Velocity of light in air is 3×10⁸ m/s. While its velocity in medium is 1.5×10⁸ m/s.Then, refractive index of medium is ?

Given :-

• Velocity of light in air is 3×10⁸ m/s. While its velocity in medium is 1.5×10⁸ m/s.

Find Out :-

• What is the refractive index of medium is ?

Solution :-

As we know that :

$\small\red{ \boxed{\sf{\bigstar\: Refractive\: Index_{(Medium)} =\: \dfrac{Velocity\: of light\: in\: air}{Velocity\: of\: light\: in\: medium}\bigstar}}}$

We have :

☯ Velocity of light in air = 3×10⁸ m/s

☯ Velocity of light in given medium = 1.5×10⁸ m/s

So, according to the question or ATQ :-

$\sf \longrightarrow \: Refractive\: Index_{(Medium)} =\:\dfrac{3 \times \cancel{{10}^{8} }}{1.5 \times \cancel{{10}^{8}} }$

$\sf \longrightarrow \: Refractive\: Index_{(Medium)} =\: \cancel{\dfrac{3}{1.5}}$

$\longrightarrow\sf\boxed{\bold{\red{Refractive\: Index_{(Medium)} =\: 2}}}$

Henceforth, the Refractive Index of the medium will be 2.

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Refractive Index :-

• Refractive index is defined as the ratio of the speed of light in a vacuum to its speed in a specific medium.