Distinguishing Between Compton Shift and Doppler Red Shift

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In summary, the conversation discusses the distinction between the Compton shift and the Doppler red shift in light from distant stars. The Compton shift is negligible when visible light is scattered off free electrons, while the Doppler Effect results in an increase in wavelength due to relative motion. The discussion also mentions that Compton scattering has no effect on the red shift, and that the answer should include mention of spectral lines.
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neelakash
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Homework Statement



Light from distant stars is Compton scattered many times by free electronsin the outer space before reaching us.This shifts the light toward the red.How can this shift be distinguished from the Doppler red shift due to the motion of receding stars?

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The Attempt at a Solution



When visible light [of colour other than red---like blue/yellow/green etc] is scattered off free electrons,the Compton shift is negligible...and what we observe is very nearly the original wavelength, somewhat reduced in intensity...

But when the Doppler Effect is the concern,the colour (wavelength) is increased with respect to us due to relative motion.If we were flying at the same rate with the star, there would be no red-shift...In this case,light that reaches us, has long wavelength (red). Compton scattering does nothing but to change red to red itslef...So, from colour observation, we get the idea...

Please let me know if you support this idea.
 
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Related to Distinguishing Between Compton Shift and Doppler Red Shift

What is the difference between Compton shift and Doppler red shift?

The Compton shift and Doppler red shift are two different phenomena that affect the wavelength of electromagnetic radiation. The Compton shift is caused by the scattering of photons off of free electrons, while the Doppler red shift is caused by the relative motion of an object emitting the radiation. In other words, the Compton shift is a result of photon-electron interactions, while the Doppler red shift is a result of the Doppler effect.

How can you distinguish between Compton shift and Doppler red shift?

The main difference between the two is the cause of the wavelength change. Compton shift is caused by interactions with electrons, while Doppler red shift is caused by the motion of the emitting object. Additionally, the magnitude of the wavelength change is different - the Compton shift typically results in a smaller change compared to the Doppler red shift.

What is the equation for calculating the Compton shift?

The equation for calculating the Compton shift is Δλ = (h/mc)(1-cosθ), where Δλ is the change in wavelength, h is Planck's constant, m is the mass of the electron, c is the speed of light, and θ is the angle between the incoming and scattered photons.

How is the Doppler red shift related to the velocity of an object?

The Doppler red shift is directly proportional to the velocity of the emitting object. This means that as the velocity of the object increases, the magnitude of the red shift also increases. This relationship is given by the equation Δλ/λ = v/c, where Δλ is the change in wavelength, λ is the original wavelength, v is the velocity of the object, and c is the speed of light.

Can both Compton shift and Doppler red shift occur simultaneously?

Yes, it is possible for both Compton shift and Doppler red shift to occur simultaneously. This can happen when light is scattered off of an object that is also moving away from the observer. In this case, both effects contribute to the change in wavelength, resulting in a larger overall shift.

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