In air, sodium light has a wavelength of 589 nm . Determine its wavelength in water (refractive index = 1.33 ).

Correct answer: A. 443 nm The wavelength of light in a medium is given by λ' = (λ)/(n) where λ is the wavelength in air and n is the refractive index of the medium. Substituting the given values: λ' = (589)/(1.33) λ' 443 nm

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 wavelength in water (refractive index

= 1.33

Options

A $443 \text{ nm}$
B $589 \text{ nm}$
C $783 \text{ nm}$
D $333 \text{ nm}$

Correct answer

A. $443 \text{ nm}$

Step-by-step solution

The wavelength of light in a medium is given by

\lambda' = \dfrac{\lambda}{n}

where

\lambda

is the wavelength in air and

n

is the refractive index of the medium.

Substituting the given values:

\lambda' = \dfrac{589}{1.33}

\lambda' \approx 443 \text{ nm}

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