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184.

Problem 2.50 (R)

We have to find the wavelength shift, if any, in the Doppler effect for the sodium line () emitted from a source moving in a circle with constant speed 0.1 c measured by an observer fixed at the centre of the circle.

Solution:             Click For PDF Version

As the source is moving in a circle with respect to an observer at the centre of the circle the line of sight is at to the relative motion. In this case there will be transverse Doppler effect. If a source moving with velocity v transverse to the direction of observation emits waves of frequency the observed frequency will be

In our problem and . The wavelength of the sodium line observed at the centre of the circle will be

Therefore, shift in the wavelength will be .