Question

Light enters from air to glass having refractive index 1.50. What is the speed of light in the glass? The speed of light in vacuum is 3 x 108 ms-1.​

Answer 1

SOLUTION :-

=>Refractive index of a medium (nm) = Speed of light in vacuum/Speed of light in the medium

=>Speed of light in vacuum (c) = 3 × 108 m/s

=>Refractive index of glass (ng) = 1.50

=>Speed of light in the glass (v) = Speed of light in vacuum/ Refractive index of glass

= c/ng

=3 × 108/1.50 = 2x 108 ms-1.

Therefore, the speed of light in the glass is 2×108ms-1.

$\huge\bold{\red{\boxed{\green{\mathcal{Be \: Brainly }}}}}$

Answer 2

Given ,

• Refractive index of glass $\sf( \mu)$ = 1.50

• The speed of light in vacuum = 3 × (10)^8 m/s

As we know that ,

The ratio of speed of light in vacuum to the speed of light in medium is called refractive index of medium

It is denoted by $\mu$

$\large \sf \underline{ \fbox{ \mu = \frac{c}{v} }}$

It has no units and dimensions

Thus ,

$</p><p>\sf \Rightarrow </p><p></p><p>1.50 = \frac{3 \times {(10)}^{8} }{v} \\ \\</p><p>\sf \Rightarrow </p><p></p><p> v = \frac{3 \times {(10)}^{8} }{1.50} \\ \\ </p><p>\sf \Rightarrow </p><p></p><p>v = 2 \times {(10)}^{8} \: \: m/s$

$\therefore \sf \underline{The \: speed \: of \: light \: in \: glass \: is \: 2 \times {(10)}^{8} \: \: m/s}$