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Found in: Page 1147

### Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

# A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting light at the proper wavelength of ${{\mathbf{\lambda }}}_{{\mathbf{o}}}{\mathbf{=}}{\mathbf{589}}{\mathbf{}}{\mathbf{nm}}$. Wavelength ${\mathbf{\lambda }}$ is measured for that light by a detector fixed at the center of the circle. What is the wavelength shift ${\mathbf{\lambda }}{\mathbf{-}}{{\mathbf{\lambda }}}_{{\mathbf{o}}}$?

The wavelength shift for sodium light source is 2.97 nm.

See the step by step solution

## Step 1: Identification of given data

The proper wavelength of emitting light is ${\mathrm{\lambda }}_{\mathrm{o}}=589\mathrm{nm}$

The speed of sodium light source is $\mathrm{u}=0.1\mathrm{c}$

The wavelength shift is the variation in the wavelength of light due to relative movement of source and observer in different frames. It is calculated by the wavelength shift formula.

## Step 2: Determination of wavelength shift for sodium light source

The wavelength shift for sodium light source is given as:

Substitute all the values in the above equation.

Therefore, the wavelength shift for sodium light source is 2.97 nm.