4. Relativistic Doppler shift: A spaceship with speed v close to c is moving away from Earth.At regular intervals of time, At', (as measured in the ship's frame), it sends out a light pulse.(a) In the inertial reference frame in which Earth is at rest, give the equation for the timeinterval between successive pulses being emitted?(b) In the inertial reference frame in which Earth is at rest, what give the equation for thetime interval between successive pulses arriving at Earth? Give the answer in terms ofv, c and At'.(c) If we convert the arrival time interval into a frequency, via f = 1/At, show that1 -fs,farrival1+v/cs»where f = 1/Ať. (This is the formula for the relativistic Doppler shift, by which thelight from distant galaxies, moving at relativistic speeds away from us, is red-shifted.)(d) Use the formula from part (c) to find the speed v at which blue light with frequency650 x 1012 Hz, emitted by the spaceship, will be received on Earth as red light withfrequency 400 x 1012 Hz.

(a) Given: The speed of the spaceship is v. The time interval in which the signal is sent in the…

Answered: 4. Relativistic Doppler shift: A…

Similar questions

A particle has a rest mass of 6.35 × 10¯ kg and a momentum of 5.39 × 10-¹8 kg.m/s. Determine the total relativistic energy E of the particle. 1.67 ×10-⁹ E = Incorrect Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest. K 1.93 Erest || Incorrect
1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?
1. If a subatomic particle moves close to the speed of light. Its decay would occur ___? 2. A space explorer travels between asteroids that are 100 000 m apart. His/her space probe travels with constant speed of 0.8c=2.4x108 m/s. What is the time of the trip between asteroids measured by observer on one of the asteroids? Write your answer rounded to 2 decimal places in ms
In 2010, a 20-year-old astronaut leaves her twin on earth and goes on a rocket to explore the galaxy. The rocket moves at 2.9 x 108 m/s during the voyage. It returns to earth in the year 2040. a. Using relativity, calculate the age of the returning astronaut. b. Find the length of the rocket in the earth’s frame of reference when it is moving, given that the rest length is 120 m. Assume you are a stationary observer viewing the rocket from the side.
A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This spaceship departs the Earth, bound for a distant planet located a distance D = 50.0 light-years away from the Earth. It travels at a constant speed of v = 0.900c. Part A) As measured by Mission Control on Earth, how long does the journey take? Enter the numerical value in units of years. Part B) According to an astronaut on the spaceship, how long does the journey take? Enter the numerical value in units of years. Part C) As measured by Mission Control on Earth, what is the spaceship's apparent length? Enter the numerical value in SI units
The length of a rod seems shortest to an observer when it moves in a specific direction. What change would he observe when the direction of rod changes by 900? O A. The rod becomes even smaller B. The length of the rod increases O C. The length of the rod remains the same D. The rod has the length equal to its proper length O E. The length of the rod doubles