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Question: Answered & Verified by Expert
If velocity of light in air is c, what will be the velocity of light in a medium of refractive index 1.4 ?
PhysicsRay OpticsJIPMERJIPMER 2019
Options:
  • A $2.1 \times 10^8 \mathrm{~m} / \mathrm{s}$
  • B $1.4 \times 10^8 \mathrm{~m} / \mathrm{s}$
  • C $2.8 \times 10^8 \mathrm{~m} / \mathrm{s}$
  • D None of these
Solution:
2156 Upvotes Verified Answer
The correct answer is: $2.1 \times 10^8 \mathrm{~m} / \mathrm{s}$
$\begin{aligned} & \text { Refractive index of medium } \\ & \qquad=\frac{\text { speed of light in vacuum }}{\text { speed in medium }} \\ & \Rightarrow \text { Speed of light in medium } \\ & =\frac{\text { speed of light in vacuum }}{\text { refractive index }} \\ & \Rightarrow \quad v=\frac{\mathrm{c}}{\mathrm{n}}=\frac{3 \times 8^8}{1.4}=2.14 \times 10^8 \mathrm{~m} / \mathrm{s}\end{aligned}$

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