Frequency of the signal received in beginning
Answer to Problem 39P
frequency of the signal received in beginning is
Explanation of Solution
Initially the signal sent by Marry will be received by the Frank. The source emitting n waves in a time interval T, here Marry going away with velocity (v) from frank that is source is moving away from observer
Write the equation to get the distance travelled by a signal. Thus,
Write the equation to get the wavelength of waves emitting n waves in a time interval T and travelling a distance d in that time interval. Thus,
Write the equation to show the relation between frequency and wavelength. Thus,
Where, c is the speed of the light, f is the frequency of the waves, and
Substitute the value of wavelength from equation (II) in above equation. Thus,
Write the equation to get the total number of the signals in time interval
Where,
Substituting the value of n from equation (IV) in equation (III). Thus
Substitute the
Because
Initially Marry and Frank receives same frequency.
At the end of the trip Marry going away from Frank thus,
Thus, marry initially receives signals at a rate of
And, Frank initially receives signals at a rate of
Where, L is the distance of the Marry’s Journey from earth to star
Conclusion:
Therefore, frequency of the signal received in beginning is
Want to see more full solutions like this?
Chapter 2 Solutions
Modern Physics for Scientists and Engineers
- Suppose our Sun is about to explode. In an effort to escape, we depart in a spaceship at v = 0.80c and head toward the star Tau Ceti, 12 lightyears away. When we reach the midpoint of our journey from the Earth, we see our Sun explode and, unfortunately, at the same instant we see Tau Ceti explode as well. (a) In the spaceship’s frame of reference, should we conclude that the two explosions occurred simultaneously? If not, which occurred first? (b) In a frame of reference in which the Sun and Tau Ceti are at rest, did they explode simultaneously? If not, which exploded first?arrow_forwardOne cosmic ray neuron has a velocity of 0.250c relative to the Earth. (a) What is the neutron's total energy in MeV? (b) Find its momentum. (c) Is in this situation? Discuss in terms of the equation given in part (a) of the previous problem.arrow_forwardSuppose the primed and laboratory observers want to measure the length of a rod that rests on the ground horizontally in the space between the helicopter and the tower (Fig. 39.8B). To derive the length transformation L = L (Eq. 39.5), we had to assume that the positions of the two ends were determined simultaneously. What happens to the length transformation equation if both observers measure the end below the helicopter at one time t1 and the other end at a later time t2?arrow_forward
- Of 1.5, 3, 5, and 10 give the maximum apparent speeds. 2. Consider a relativistic jet with an angle of 70 degrees relative to the line of sight (i.e. it is almost, but not quite perpendicular to the line of sight). Let its value of gamma for the motion be 3. (a) Will it appear superluminal? (b) Will it appear to be brighter or fainter than it would in its own rest frame? 3. State whether the following reactions are possible under special relativity. If not, explainarrow_forwardA star is 12.2 ly (light-years) from Earth. HINT (a) At what constant speed (in m/s) must a spacecraft travel on its journey to the star so that the Earth–star distance measured by an astronaut onboard the spacecraft is 4.36 ly? m/s (b) What is the journey's travel time in years as measured by a person on Earth? NO SCIENTIFIC NOTATION ANSWERS THANK YOUarrow_forwardA high speed particle enters a medium and travels 7.1 mm before it decays. If the particle was travelling at 0.98c relative to the medium, what would the proper lifetime of the particle be? Give your answer in picoseconds (10-12 s) and don't give units.arrow_forward
- At what speed, in m/s, would a moving clock lose 1.1 ns in 1.0 day according to experimenters on the ground? Hint: Use the binomial approximation. Express your answer in meters per second using two significant figures.arrow_forwardA spaceship has proper length L_p and passes by a person standing on Earth. The personstanding on Earth measures that it takes time delta_t for the spaceship to pass a fixed point on theEarth. What is the speed (v) of the spaceship, according the person standing on Earth? Giveyour answer for v in terms of L_p, delta_t, and c (the speed of light).arrow_forwardA particle has a lifetime of 91 nanoseconds (as measured in its own moving reference frame. It travels at a speed of 0.984c, where c is the speed of light. How far does it travel? Express your answer in meters and keep three significant digits.arrow_forward
- Shannon observes two light pulses to be emitted from the same location, but separated in time by 3.00 μs. Kimmie observes the emission of the same two pulses to be separated in time by 9.00 μs. (a) How fast is Kimmie moving relative to Shannon? (b) According to Kimmie, what is the separation in space of the two pulses?arrow_forwardObservers in reference frame S see an explosion located at x1=620 m. A second explosion occurs 6.0 micro-s later at x2=1500 m.In reference frame S', which is moving along the +x-axis at speed V, the explosions occur at the same point in space. What is the separation in time delta t' between the two explosions as measured in frame S'? Express your answer in microseconds (micro-s). delta t' = ? micro-sarrow_forwardWith the principles of relativity, answer the ff and show the solution:arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax