You overhear two students discussing the topic of Doppler shift.
Student 1: Since Betelgeuse is a red star, it must be going away from us, and since Rigel is a blue star it must be coming toward us.
Student 2:
I disagree, the color of the star does not tell you if it is moving. You have to look at the shift in wavelength of the lines in the star's absorption spectrum to determine whether
it's moving toward or away from you.
Do you agree or disagree with either or both of the students?

Respuesta :

Answer:

agree with student 2, disagree with student 1

Explanation:

If you want to know if the wavelength of light was shifted you have to know the original wavelengths

Since we know the absorption spectrum for elements like hydrogen, we can look for these absorption lines in the star's spectra and figure out what direction these lines are shifted and tell if the star is moving away or towards us

The color of the star refers to the temperature of the star's surface which is not related to the doppler shift of the star

the Doppler effect allows finding that the correct answer is:

Student 2. You must measure the variation of the emitted wavelength to know if the star is moving away or closer

The Doppler effect is the change in frequency of a wave due to the relative movement between the source and the observer, in the case of stars we use that there is a relationship of the speed of light

             c = λ f

             f =[tex]\frac{c}{\lambda }[/tex]  

where c is the speed of light, λ the wavelength and f the frequency of radiation

the doppler effect relationships are

            f’= f₀    [tex]\sqrt{ \frac{1 - \frac{v}{c} }{1 + \frac{v}{c} } }[/tex]

where f and f₀ are the observed and emitted frequencies, respectively, v is the relative velocity of the emitter and the observer, this velocity is positive if the two bodies move away

we substitute

           [tex]\frac{1}{\lambda} = \frac{1}{\ \lambda_o} \ \sqrt{\frac{1- \frac{v}{c} }{1+\frac{v}{c} } }[/tex]

The stars are formed fundamentally by Hydrogen, for which the emitted wavelengths correspond to the emission spectrum of; Hydrogen binding and therefore the observed wavelength variation is a proof of the relative motion of the stress and we.

On the other hand, the color of the light emitted by the star is related to the temperature of the stars through Wien's displacement law.

           λ T = 2,898 10⁻³

As a result, student 2 is right and student 1 is wrong.

In conclusion using the Doppler effect the correct answer is:

  • The student 2 He must measure the variation of the emitted wavelength to know if the star is moving away or closer

Learn more about the Doppler effect here:

https://brainly.com/question/3154428