Question

The velocity of light in vacuum is 3 x 10^8 m/s and in glass is 2 x 10^8 m/s. The refractive index of glass is?

Answer 1

Answer:

Explanation:

Given,

Speed of light in air, c = 3 × 10⁸ m/s.

Speed of light in glass slab is, v = 2 × 10⁸ m/s.

To Find,

Refractive Index

Formula to be used,

μ = c/v

Solution,

Putting all the values, we get

μ = c/v

⇒ μ = 3 × 10⁸/2 × 10⁸

⇒ μ = 3 × 10⁸/2 × 10⁸

⇒ μ = 3/2

⇒ μ = 1.5

Hence, The refractive index of glass is 1.5.

Terms Used,

μ denotes refractive index.

c denotes the speed of light in the air.

v denotes the speed of light in the glass slab.

Answer 2

Answer:-

Refractive index of glass is the ratio of the speed of light in vacuum to the speed of light in glass.

$\bf \: n = \frac{speed \: of \: light \: through \: vaccum}{speed \: of \: light \: in \: glass}$

Where n is denoted as Refractive index of glass

$\small \bf \: Speed \: of \: light \: through \: vaccum = 3 \times {10}^{8}$

$\small \bf \: Speed \: of \: light \: in \: glass \: slab = 2 \times {10}^{8}$

$\bf \: ∴n = \frac{3 \times {10}^{8} }{2 \times {10}^{8} }$

$\bf \: = > n = \frac{3}{2}$

$\bf \: = > n = 1.5$

Answer:- Refractive index of glass = 1.5

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