Concept explainers
The time difference after rotating
Answer to Problem 5P
The time difference after rotating
Explanation of Solution
As from figure 2.2, total time (
Where,
As from figure 2.2, total time (
When light travel from A to D, ether will deflect the direction of the light, thus light will not reach to the mirror
Therefore,
Where,
The time difference between two journey before rotating the Michelson interferometer is as follows:
Substituting the values of
After rotating
Therefore, from Galilean transformation velocity of the light along the l2 (from A to D) will be
When light travel from A to C, ether will deflect the direction of the light, thus light will not reach to the mirror
Therefore, by using the vector triangle, the speed of the light will be
Thus, total time taken by light to complete the round-trip journey from A to C is
From equation (IV) and (V) time difference between the two journey is
Conclusion:
Therefore, the time difference after rotating
Want to see more full solutions like this?
Chapter 2 Solutions
Modern Physics for Scientists and Engineers
- Two astronomical events are observed to occur at a time of 0.30 s apart and a distance separation of 2.0109m from each other. How fast must a spacecraft travel from the site of one event toward the other to make the events occur at the same time when measured in the frame of reference of the spacecraft?arrow_forwardA spacecraft receding from the earth emits radio waves at a constant frequency of 109Hz. Ifthe receiver on earth can measure frequencies to the nearest hertz, at what spacecraft speedcan the difference between the relativistic and classical Doppler effects be detected? For theclassical effect, assume the earth is stationary.arrow_forwardA shift of onefringe in the Michelson-Morley experiment corresponds to a change in the round-trip travel time along one arm of the interferometer by one period of vibration of light (about 2 ×10−15s) when the apparatus is rotated by 90◦. Based onthe results of such experiment,what velocity through the ether would be deduced from a shift of one fringe? (Take the length of the interferometer arm to be 11 m.)arrow_forward
- If a high-speed spaceship appears shrunken to half its normal length, how does its momentum compare with the classical formula p = mv?arrow_forwardA particle travels at 1.90 x 108 m/s and lives 2.10 x 10-8 s when at rest relative to an observer. How long does the particle live as viewed in the laboratory?arrow_forwardA golf ball travels with a speed of 90.0 m/s. By what fractiondoes its relativistic momentum magnitude p differfrom its classical value mu? That is, calculate the ratio(p mu)/mu.arrow_forward
- If an object is spherical with a radius of r when viewed at rest, how would its appearance change if it was traveling at relativistic speeds?arrow_forwardDoes the relativistic postualte of constancy of velocity of light hold for inertial frames only or it holds for non-inertial frames also?arrow_forwardParticles called π-mesons are created by accelerator beams. If these particles travel at 2.54 ✕ 108 m/s and live 2.60 ✕ 10−8 s when at rest relative to an observer, how long (in s) do they live as viewed in the laboratory?arrow_forward
- Is the relativistic rule consistent with the fact that light can have only one speed in all uniformly moving reference frames?arrow_forwardParticles called π -mesons are produced by accelerator beams. If these particles travel at 2.70×108 m/s and live 2.60×10−8 s when at rest relative to an observer, how long do they live as viewed in the laboratory?arrow_forwardParticles called π-mesons are produced by accelerator beams. If these particles travel at 2.70 × 10^8 m/s and live 2.60 × 10−8 s when at rest relative to an observer, how long do they live as viewed in the laboratory?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning