Derivation of the Doppler formula and the apparent speed of a relativistic source on the sky:...
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6.8 The Doppler formula for the observed frequency f from a source moving with velocity along the line of sight of an observer is where fo is the frequency in the rest frame of the source. (a) What is the distribution in frequency of a partícular spectral line radiated from a gas at temperature T? (b) Find the breadth of the line, de fined as the variance (f -fo)2. (c) Atomic hydrogen and atornic oxygen are...
A spaceship travels with a speed of 0.3 c as it passes by the Earth on its way to a distant star, as shown in the diagram below. The pilot of the spaceship measures the length of the moving ship as 40 m. 0.3 c Earth Determine its length as measured by a person on Earth. (part 2 of 3) The pilot of the spaceship observes that the spaceship travels for 4 years. Determine how much time has passed according...
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(2) Problem 12.6 from Griffiths, Introduction to Electrodynamics, 3rd ed Problem 12.6 from Griffiths, Introduction to Electrodynamics, 4th ed Every two years, more or less, the New York Times publishes an article in which someone claims to have found an object traveling faster than the speed of light. Many of these reports result from a failure to distinguish what is seen from what is observed that is, from a failure to account for light travel time. Here's an example:...
piloting a state-of-the-art spaceship to α Centauri, which is a star about 4 lightyears away as measured from Earth. Your ship cruises at a speed of 0.6c. For this problem, you can assume that Earth and a Centauri are at rest with respect to each other. At your journey's midpoint, you decide to send a souvenir package to your folks back home. You launcha probe back to Earth at a speed of v 0.8c from your perspective. a. How long...
Relativistic Length Measurements 4.7. Compute the contraction in length of a train 1/2 mile long when it is traveling at 100 mi/hr. Ans. 5.58 x 10-15 mi = 3.52 x 10-10 in. 4.8. At what speed must an observer move past the earth so that the earth appears like an ellipse whose major axis is six times its minor axis? Ans. 0.986c 49. An observer O' holds a 1.00 m stick at an angle of 30° with respect to the...
3. a) As shown in Figure 3a, a hibernating astronaut in a ship at rest lies on a recliner making an angle = 35° with the horizontal. The height of the recliner is y = 1.15 meters. In Figure 3b, the ship is moving at velocity v = 0.75c with respect to a stationary observer. Calculate the value of the Lorentz factor y. What is the observed angle e' of the length-contracted recliner? Figure 3b. Relativity: 1 - 22 ť=yto...
1) A plane wave is projected towards a small opening in a wall and spreads out once it passes the opening. Rank in order the amount of diffraction of each wave below from most spreading to least spreading. A) Most Ocean wave, Sound wave, Blue light, Red light Least. B) Most+Red light, Blue Light, Ocean wave, Sound wavefLeast. C) Most+Blue light, Red Light Sound Wave, Ocean wave Least. D) MostSound wave, Ocean wave, Red Light, Blue Light Least. E) Most+Ocean...
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1) 1) A plane wave is projected towards a small opening in a wall and spreads out once it passes the opening. Rank in order the amount of diffraction of each wave below from most spreading to least spreading. A) Most>Ocean wave, Sound wave, Blue light, Red light+Least. B) Most Red light, Blue Light, Ocean wave, Sound wave Least. C) Most →Blue light, Red Light, Sound Wave, Ocean wavefLeast. D) Most Sound wave, Ocean...
Physics Lab Assignment This particular discovery is also an example of how those who deserve an award sadly are not always the ones who receive it. Read the following passage focusing your attention on the scientific procedures and scientific abilities you have been developing throughout the course. The discovery of pulsars –rotating neutron stars that generate regular pulses of radiation at their spin rate- was fortuitous. A group of astrophysicists from Cambridge University lead by Anthony Hewish was looking for...
The discovery of pulsars –rotating neutron stars that generate regular pulses of radiation at their spin rate- was fortuitous. A group of astrophysicists from Cambridge University lead by Anthony Hewish was looking for quasars (these are extremely bright, compact and remote objects that emit up to a thousand times as much light as our entire galaxy). For that purpose the research group designed a radio-telescope that was built on the flat fields surrounding Cambridge in central England. This telescope did...