Question

if the speed of light in glass is 2 x 10⁸ m/s,and that in air is 3 x 10⁸ m/s, calculate the refractive index of glass with respect to air.​

Answer 1

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

GiveN:

• The speed of light in glass is 2 x 10⁸ m/s
• The speed of light in air is 3 × 10⁸ m/s

To FinD:

• Calculate the refractive index of glass with respect to air?

Step-by-step Explanation:

The refractive index of glass wrt air:

$\large{\boxed{\rm{a\mu_ g = \frac{speed \: of \: light \: in \: air}{speed \: of \: light \: in \: glass} }}}$

Now plugging the given values to find the refractive index of glass wrt air,

⇒ μ = 3 × 10⁸ / 2 × 10⁸

⇒ μ = 3 / 2

⇒ μ = 1.5

Refractive index have no unit because it is a ratio. The refractive index of glass wrt air is 1.5 (Ans)

Note:

• Refractive index is just the measure of bending of light when it passed from one medium to another.

• The speed of light in air or in vaccum is the highest.

Answer 2

Answer:

$\huge \bold {given}$

• speed of light in glass is 2 x 10⁸ m/s,
• Speed in air is 3 x 10⁸ m/s,

$\huge \bold {to \: find}$

refractive index of glass with respect to air.

$\huge \bold {solution}$

The refractive index of glass wet air

$aμg \: = \dfrac{speed \: in \: air}{speed \: in \: glass}$

$μ = \dfrac{3 \times {10}^{8} }{2 \times {10}^{8} }$

$μ = \dfrac{3}{2}$

$μ = 1.5$

Thus, the refractive index of glass with respect to air = 1.5