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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 air, sodium light has a wavelength of 589 nm . Determine its...

In air, sodium light has a wavelength of

589 \text{ nm}

. Determine its speed in water (refractive index

= 1.33

).

Options

A $1.76 \times 10^8 \text{ m s}^{-1}$
B $2.25 \times 10^8 \text{ m s}^{-1}$
C $3.99 \times 10^8 \text{ m s}^{-1}$
D $3.00 \times 10^8 \text{ m s}^{-1}$

Correct answer

B. $2.25 \times 10^8 \text{ m s}^{-1}$

Step-by-step solution

The speed of light in a medium is given by the relation

v = \dfrac{c}{n}

, where

c

is the speed of light in vacuum and

n

is the refractive index of the medium.

Given

c = 3.00 \times 10^8 \text{ m s}^{-1}

and

n = 1.33 \approx \dfrac{4}{3}

.

Substituting the values:

v = \dfrac{3.00 \times 10^8}{4/3} = 2.25 \times 10^8 \text{ m s}^{-1}

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