Problem 11. If a source emitting light at wavelength Xem is moving away from you at speed v the you observe its wavelength at Aob according to the following equation for Doppler shift in special relativity (with 3=v/c) dob Xem 1. Using Eq. (5.2), show that the redshift z when ve can be written as z = 8 +0 (3²) Here we have neglected all powers of 3 higher than 2. Find dz/dß at 3 = 0. 2. Find 0(3²) term in Eq. (5.3) 3. Calculate z if a galaxy is receding at 3000 km/s? (5.2) (5.3)
Problem 11. If a source emitting light at wavelength Xem is moving away from you at speed v the you observe its wavelength at Aob according to the following equation for Doppler shift in special relativity (with 3=v/c) dob Xem 1. Using Eq. (5.2), show that the redshift z when ve can be written as z = 8 +0 (3²) Here we have neglected all powers of 3 higher than 2. Find dz/dß at 3 = 0. 2. Find 0(3²) term in Eq. (5.3) 3. Calculate z if a galaxy is receding at 3000 km/s? (5.2) (5.3)
Related questions
Question
Hubble’s Law & Redshifts
Can i get help with this questions
![Problem 11. If a source emitting light at wavelength Xem is moving away from you at speed u the you observe
its wavelength at Aob according to the following equation for Doppler shift in special relativity (with 3 =v/c)
Aob
Xem
1. Using Eq. (5.2), show that the redshift 2 when u < c can be written as
z = 3+0 (8²)
(5.2)
(5.3)
Here we have neglected all powers of 3 higher than 2. Find dz/d3 at 3 = 0.
2. Find O(3²) term in Eq. (5.3)
3. Calculate z if a galaxy is receding at 3000 km/s?
4. If the galaxy emits light with frequency 500 THz, what is the frequency at which this light is observed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13f42eda-4233-4463-985e-07142dfa1519%2F776c83ba-0622-41f3-aa18-c7589315e1e4%2F8mkxv8f_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 11. If a source emitting light at wavelength Xem is moving away from you at speed u the you observe
its wavelength at Aob according to the following equation for Doppler shift in special relativity (with 3 =v/c)
Aob
Xem
1. Using Eq. (5.2), show that the redshift 2 when u < c can be written as
z = 3+0 (8²)
(5.2)
(5.3)
Here we have neglected all powers of 3 higher than 2. Find dz/d3 at 3 = 0.
2. Find O(3²) term in Eq. (5.3)
3. Calculate z if a galaxy is receding at 3000 km/s?
4. If the galaxy emits light with frequency 500 THz, what is the frequency at which this light is observed?
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Given the doppler shift formula as:
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)