Question

velocity of light in air 3x108 mls. What will
be its velocity in an medium of R. I4/3

a 3x108 mis 6. 1.5x108 m/s 0.25 c. 2.25 x 108ml
d 2.58 108 m/s​

Answer 1

GiveN :-

• Velocity of light in air 3x10⁸ m/s .
• The refractive index of a medium is 4/3.

To FinD :-

• The velocity of light in that medium.

SolutioN :-

Given that velocity of light in air 3x10⁸ m/s. We need to find the velocity in an medium of Refractive index 4/3 . We know that the refractive index is the ratio of speed of light in vacuum to the speed of light in a particular medium . Using it ,

$\red{\bigstar}\underline{\textsf{ Using the Formula of \textbf{ Refractive Index } . }}$

$\sf:\dashrightarrow \pink{ Refractive \ Index \gray{\mu} =\dfrac{Speed\ of \ light \ in \ vacuum \gray{c}}{Speed \ of \ light\ in \ a \ med^m \gray{v}}} \\\\\sf\dashrightarrow \dfrac{4}{3}=\dfrac{3\times 10^8 m/s }{v} \\\\\sf\dashrightarrow v =\dfrac{ 3\times 10^8 m/s \times 3}{4} \\\\\sf\dashrightarrow \underset{\blue{\sf Required \ Speed }}{\underbrace{\boxed{\pink{\frak{ Velocity_{(med^m)}= 2.25 \times 10^8 m/s }}}}}$