Question

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Answer 1

Answer :

• ›»› The refractive index of glass is 1.5.

Explanation :

Given :-

• Velocity of light in vacuum = 3 × 10⁸ m/s.
• Velocity of light in glass = 2 × 10⁸ m/s.

To Find :-

• Refractive index of glass = ?

Formula required :-

• Formula to calculate the refractive index of glass is given by,

→ μ = c/v.

Here,

• μ is the refractive index of glass.
• c is the velocity of light in vacuum.
• v is the velocity of light in glass.

Solution :-

• As we are given with the velocity of light in vacuum and velocity of light in glass them we know the required formula, that is,

→ μ = c/v.

• By using the formula to calculate refractive index of glass and substituting all the given values in the formula, we get :

→ μ = 3 × 10⁸/2 × 10⁸

→ μ = 3/2

→ μ = 1.5

Hence, the refractive index of glass is 1.5.

Answer 2

Given:-

• velocity of light in vacuum = 3×10⁸ m/s
• velocity of light in glass = 2×10⁸ m/s

To find:-

• refractive index of glass.

Formula to be used:-

$\underline{\boxed{\sf refractive\: index = \dfrac{speed\: of\: light \: in \: air}{speed \: of \: light \: in \: glass}}}$

• The refractive index of a medium with respect to air is known as Absolute refractive index.

Solution:-

$\longrightarrow$ refractive index = $\sf\dfrac{3×10⁸}{2×10⁸}$

$\longrightarrow$ refractive index = 1.5

hence, the refractive index of this glass = 1.5

Additional information:-

Refractive index with respect to another medium:--

$\underline{\boxed{\sf refractive\: index = \dfrac{speed\: of \: light \: in \: medium1}{speed\: of \: light \: in \: medium2}}}$

refractive index with respect to angle of incidence and reflection:-

$\underline{\boxed {\sf refractive\: index = \dfrac{Sin i }{Sin r}}}$

• this is also known as Snell's law