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JIPMER 2019
Exam
JIPMER
Year
2019
Subject
Physics
Chapter
Ray Optics

JIPMER 2019 · Physics · Ray Optics

If velocity of light in air is c, what will be the velocity of...

If velocity of light in air is c, what will be the velocity of light in a medium of refractive index 1.4 ?

Options

  1. A2.1×108 m/s2.1 \times 10^8 \mathrm{~m} / \mathrm{s}
  2. B1.4×108 m/s1.4 \times 10^8 \mathrm{~m} / \mathrm{s}
  3. C2.8×108 m/s2.8 \times 10^8 \mathrm{~m} / \mathrm{s}
  4. DNone of these

Correct answer

A. 2.1×108 m/s2.1 \times 10^8 \mathrm{~m} / \mathrm{s}

Step-by-step solution

 Refractive index of medium = speed of light in vacuum  speed in medium ⇒ Speed of light in medium = speed of light in vacuum  refractive index ⇒v=cn=3×881.4=2.14×108m/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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