Question

Find the refractive index of a medium having a velocity of 1.5 × 100000000 m/s

Answer 1

Solution :

➡ Given:

✏ Velocity of light in the given medium = $\rm{1.5×10^8}$ m/s

➡ To Find:

✏ Refractive index of the given medium.

➡ Formula:

✏ Absolute refractive index is defined as

$\underline{ \boxed{ \bold{ \rm{ \pink{ \mu = \frac{c}{v} = \frac{speed \: of \: light \: in \: vacuum}{speed \: of \: light \: in \: medium}}}}}}$

➡ Terms indication:

✏ $\mu$ denotes refractive index of medium.

✏ c denotes velocity of light in vacuum.

✏ v denotes velocity of light in medium.

➡ Calculation:

$\mapsto \rm \: \mu = \frac{c}{v} = \frac{3 \times {10}^{8} }{1.5 \times {10}^{8} } \\ \\ \mapsto \: \underline{ \boxed{ \bold{ \rm{ \orange{ \mu = 2}}}}} \: \star$

➡ Additional information:

✏ Refractive index is unitless quantity.

✏ Refractive index is dimensionless quantity.

Answer 2

$\mathtt{ \huge{ \fbox{Solution :)}}}$

Given ,

• Speed of light in vacuum = 3 × (10)^8
• Speed of light in medium = 1.5 × (10)^8

We know that , the ratio of speed of light in vacuum to the speed of light in medium is called refractive index

$\large \mathtt{ \fbox{Refractive \: index = \frac{Speed \: of \: light \: in \: vacuum}{Speed \: of \: light \: in \: medium} </p><p>}</p><p>}$

Thus ,

Refractive index = 3 × (10)^8/1.5 × (10)^8

Refractive index = 3/1.5

Refractive index = 30/15

Refractive index = 2

Hence , the refractive index is 2

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