The speed of the light in diamond is 1, 24, 000 km/s. Find the refract

1.	The speed of the light in diamond is 1, 24, 000 km/s. Find the refractive index ofdiamond if the speed of light in air is 3, 00,000 km/s.
Answer» $\bigstar$ Given The speed of the light in a diamond is 1,24,000 km/s The speed of light in AIR is 3,00,000 km/s $\bigstar$ To Find The refractive INDEX of diamond $\bigstar$ Solution We KNOW that $\red{\sf \longrightarrow n=\dfrac{c}{v}}$ Here n = refractive index of MEDIUM c = speed of light in air v = velocity of light in medium According to the question Hence The medium is diamond And We are asked to find the the refractive index of diamond Therefore We must find "n" Given that The speed of the light in a diamond is 1,24,000 km/s The speed of light in air is 3,00,000 km/s Hence v = 1,24,000 km/s c = 3,00,000 km/s Substituting the values We get $\green{\sf \longrightarrow n=\dfrac{3,00,000}{1,24,000}}$ On further simplification We get $\orange{\sf \longrightarrow n=\dfrac{300}{124}}$ Hence $\pink{\sf \longrightarrow n=2.4}$ Therefore The refractive index of diamond = 2.4

The speed of the light in diamond is 1, 24, 000 km/s. Find the refractive index ofdiamond if the speed of light in air is 3, 00,000 km/s.

Answer»

The speed of the light in a diamond is 1,24,000 km/s

The speed of light in AIR is 3,00,000 km/s

The refractive INDEX of diamond

We KNOW that

Here

According to the question

Hence

The medium is diamond

And

We are asked to find the the refractive index of diamond

Therefore

We must find "n"

Given that

The speed of the light in a diamond is 1,24,000 km/s

The speed of light in air is 3,00,000 km/s

Hence

Substituting the values

We get

On further simplification

We get

Hence

Therefore

The refractive index of diamond = 2.4