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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Light Waves

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Light Waves

In a certain liquid, the speed of yellow light is 2.4 × 10^8 m s^...

In a certain liquid, the speed of yellow light is 2.4×108 m s−12.4 \times 10^8 \text{ m s}^{-1}. Determine the refractive index of the liquid.

Options

  1. A1.251.25
  2. B1.331.33
  3. C1.501.50
  4. D0.800.80

Correct answer

A. 1.251.25

Step-by-step solution

The refractive index of a medium is given by the ratio of the speed of light in vacuum to the speed of light in the medium.

n=cvn = \dfrac{c}{v}

Given the speed of yellow light in the liquid, v=2.4×108 m s−1v = 2.4 \times 10^8 \text{ m s}^{-1}

The speed of light in vacuum is c=3.0×108 m s−1c = 3.0 \times 10^8 \text{ m s}^{-1}

Substituting the values:

n=3.0×1082.4×108n = \dfrac{3.0 \times 10^8}{2.4 \times 10^8}

n=3.02.4=54=1.25n = \dfrac{3.0}{2.4} = \dfrac{5}{4} = 1.25
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