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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 frequency in air.

Options

A $3.00 \times 10^{14} \text{ Hz}$
B $5.09 \times 10^{14} \text{ Hz}$
C $5.89 \times 10^{14} \text{ Hz}$
D $1.96 \times 10^{15} \text{ Hz}$

Correct answer

B. $5.09 \times 10^{14} \text{ Hz}$

Step-by-step solution

Given wavelength,

\lambda = 589 \text{ nm} = 589 \times 10^{-9} \text{ m}

Speed of light in air,

c \approx 3 \times 10^8 \text{ m/s}

Using the relation

c = \nu \lambda

, the frequency

\nu

is given by:

\nu = \dfrac{c}{\lambda}

\nu = \dfrac{3 \times 10^8}{589 \times 10^{-9}}

\nu = \dfrac{3}{589} \times 10^{17}

\nu = \dfrac{3000}{589} \times 10^{14}

\nu \approx 5.09 \times 10^{14} \text{ Hz}

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