1.Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of light. (a) Does he observe the rate of his clocks to have slowed? (b) What change in the rate of Earth-bound clocks does he see? (c) Does his ship seem to him to shorten? (d) What about the distance between stars that lie on lines parallel to his motion? (e) Do the space-bound and an Earth-bound observer agree on his velocity relative to the Earth?

Q: A spacecraft receding from the earth emits radio waves at a constant frequency of 10^9 Hz. If the…

A: Let the difference between the classical and relativistic frequency of the radio wave be 1 Hz. For…

Q: A particle of rest energy 140 MeV moves at a sufficiently high speed that its total relativistic…

A: The expression from relativity,

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: (a)The mean life time as measured by the observer on earth can be given as

Q: Is the relativistic rule consistent with the fact that light can have only one speed in all…

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Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

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Q: Two events are observed in a frame of reference S to occur at the same space point, with the second…

A:

Q: 37.2 • The positive muon (u), an unstable particle, lives on average 2.20 x 10-6 s (measured in its…

A:

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: (a). the life time of moving muon is

Q: A cube has a volume of 1.2 cm° and a mass of 7.3g when at rest on the Earth. If this cube is now…

A: Givenvolume(V)= 1.2 cm3Mass (m)= 7.3 Kginitial speed (u)= 0.75 c Let ρ1= Density measured=?

Q: A spaceship, 190 m long as seen on board, moves by the earth at 0.930c. What is its length (in m) as…

A:

Q: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406. What is the relativistic…

A: An object with a rest mass of 12420.5 MeV/c2 is moving with a β of 0.406

Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to earth-based…

A: GivenLength of spaceship at rest with respect to observer, Lo=250 mSpeed of spaceship, v=0.8 c

Q: If an external force is operating on a system, is it feasible for it to be relativistic at the same…

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Q: A futuristic spaceship leaves the Earth traveling at a speed 0.85 c. A clock on board the ship reads…

A: Write the given values with the suitable variables. v=0.85ctp=2 hr Here, v and tp are the speed of…

Q: 6. (i) The lifetime of a particle in its own frame of reference is 25.0 ns. (This is its proper…

A: Given data: i)  Proper lifetime, ∆t'=26.0 ns Speed of the particle, v=0.95c ii) Length of the rod is…

Q: Frame S' has a speed v = 0.6c relative to S in x direction which is parallel to x'. The clocks on S…

A: Given : Speed of S' with respect to S, v = 0.6c The clocks on S and S' are adjusted so that t= t'= 0…

Q: A spacecraft receding from the earth emits radio waves at a constant frequency of 109 Hz. If the…

A: Given data: Frequency f = 109 Hz

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: Given, The average lifetime of a pi meson t = 2.6 x 10-8 s.   (a) If the meson moves with a speed of…

Q: In 1985 the space shuttle Challenger flew a cesium clock and compared its time with a fixed clock…

A: v = 7712 m/sc = 3×108 m/sβ = 77123×108β = 2.57×10-5

Q: The average lifetime of a pi meson in its own frame of reference (i.e., the proper lifetime) is 2.6…

A: a) The mean life time pf the pi meson with respect to the proper time on the earth is,

Q: Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that…

A: Speed of light, c = 3×108 m/sVelocity of muon, v = 0.95cTime period, ∆t0 = 1.52×10-6 s β = vcβ =…

Q: Compared to the proper time, relativistic time or the time observed by anobserver moving with…

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Q: How long would the muon in attached Example have lived as observed on the Earth if its velocity was…

A: Here, tE=tR1-vc2

Q: At the instant that a clock standing next to you reads t = 1.0 μs, you look at a second clock, 300 m…

A: The expression for find time taken by the light to reach the given distance is t=dv

Q: Two identically constructed clocks are synchronized. One is put into orbit around Earth, and the…

A: According to the theory of general relativity, the clock in orbit undergoing centripetal…

Q: At what speed does the classical momentum, p=mv, give an error, when compared with the relativistic…

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Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

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Q: An airplane has rest length 40.0 m and speed 630 m/s. To a ground observer, (a) by what fraction is…

A: (a) The expression for the length contraction is:

Q: A muon formed high in the Earth's atmosphere travels at a speed 0.870 c for a distance of 4.00 km…

A:

Q: A spacecraft travels at 1.5 X 108 m/s relative to Earth. A process onboard the ship as measured by…

A: Given: The speed of the ship is 1.5x108 m/s. The time of stationary clock on the earth is 85 min.

Q: 1. Assuming that you are moving with a constant speed of 0.55c when you passed by a man on the…

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Q: A cube has a volume of 1.2 cm³ and a mass of 7.3g when at rest on the Earth. If this cube is now…

A:

Q: A spaceship, 200 m long as seen on board, moves by the Earth at 0.970c . What is its length as…

A: The given values are,

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.