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Chapter 37: 37P (page 1147)

Assuming that Eq. 37-36 holds, find how fast you would have to go through a red light to have it appear green. Take 620 nm as the wavelength of red light and 540 nm as the wavelength of green light.

Short Answer

Expert verified

The speed of observer for variation in colour of light from red to green is 0.13c.

Step by step solution

01

Identification of given data

The wavelength of red light is λr=620nm

The wavelength of green light is λg=540nm

The speed for the variation in the colour of light from red to green is found by using the formula for wavelength shift.

02

Determination of speed for change in red colour light into green light

The speed for variation in colour of light is given as:

v=λr-λgλrc

Here, c is the speed of light.

Substitute all the values in the above equation.

v=620nm-540nm620nmc=0.13c

Therefore, the speed of observer for variation in colour of light from red to green is 0.13c.

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