AAMC 4 Question 11

[Meredith92]

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In the answer key for question 11 in AAMC 11 it says:
"The linear relation between relative speed v and change in detected wavelength is a consequence of the doppler equation delta lambda/ lambda= v/c where c is the velocity of the radio wave."

I'm not sure how they got this equation. On wikipedia it says delta f/f= delta v/c. how can both of these equations be correct??

 

[MedGrl@2022]

In the answer key for question 11 in AAMC 11 it says:
"The linear relation between relative speed v and change in detected wavelength is a consequence of the doppler equation delta lambda/ lambda= v/c where c is the velocity of the radio wave."

I'm not sure how they got this equation. On wikipedia it says delta f/f= delta v/c. how can both of these equations be correct??

Is it because it is change in wavelength and change in frequency? They provide them both in the EK physics textbook. If no one has a better answer, I will look into it in the near future.

 

[Postictal Raiden]

In the answer key for question 11 in AAMC 11 it says:
"The linear relation between relative speed v and change in detected wavelength is a consequence of the doppler equation delta lambda/ lambda= v/c where c is the velocity of the radio wave."

I'm not sure how they got this equation. On wikipedia it says delta f/f= delta v/c. how can both of these equations be correct??

Honestly, I don't know how to answer your question, but I solved this problem by using the equation v = wavelength x frequency. I deduced that an increase in wavelength leads to an increase in speed, in a linear relationship fashion. As simple as that.