Exam 37: Relativity

An event occurs at x = 500 m, t = 0.90 $\mu$ s in one frame of reference.Another frame is moving at 0.90c in the positive x direction.The origins coincide at t = 0 and clocks in the second frame are zeroed when the origins coincide.The coordinate and time of the event in the second frame is:

According to the theory of relativity:

An electron is moving at 0.6c.If we calculate its kinetic energy using (1/2)mv², we get a result which is:

If the kinetic energy of a free particle is much greater than its rest energy then its kinetic energy is proportional to:

A particle with zero mass and energy E carries momentum:

A rocket traveling with constant velocity makes an 8.4 * 10¹⁵ m trip in 1 year.The proper time between events which mark the beginning and end of the trip is:

A distant star has a transverse speed (perpendicular to our line of sight)of 30,000 km/s with respect to Earth.Its spectrum has an absorption line at a frequency of 5.00 x 10¹⁴ Hz.What is the frequency of that line as observed on Earth?

Two isotopes of hydrogen fuse to form a helium nucleus and a neutron: ²H + ³H → ⁴He + n The masses are: What is the Q value of this reaction?

A train traveling very fast (v = 0.6c)has an engineer (E)at the front, a guard (G)at the rear and an observer (S')exactly half way between them.Both E and G are equipped with yellow signaling lamps.The train passes a station, closely observed by the station master (S).Both E and G use their lamps to send signals.According to both S and S' these signals arrive simultaneously at the instant S' is passing S.According to S':

Two events occur 100 m apart with an intervening time interval of 0.60 $\mu$ s.The speed of a reference frame in which they occur at the same coordinate is:

A meter stick moves in the direction of its length through a laboratory.According to measurements taken in the laboratory, its length is 0.31 m.The speed of the meter stick relative to the laboratory is:

A measurement of the length of an object that is moving relative to the laboratory consists of noting the coordinates of the front and back:

An electron (m = 9.11 *10^-31 kg)has a speed of 0.95c.Its kinetic energy is:

If the mass of a particle is zero its speed must be:

A console lamp in the cabin of a spaceship appears green when the ship and observer are both at rest.When the ship is moving at 0.90c away from Earth, passengers on board see:

Light from some stars shows an apparent change in frequency because of:

As we watch, a spaceship passes us in time $\Delta$ t.The crew of the spaceship measures the passage time and finds it to be $\Delta$ t'.Which of the following statements is true?

Pi mesons at rest have a half-life of T.If a beam of pi mesons is traveling at a speed of v = $\beta$ c, the distance in which the intensity of the beam is halved is:

Two flashes of light occur simultaneously at t = 0 in reference frame S, one at x = 0 and the other at x = 600 m.They are observed in reference frame S', which is moving at 0.95c in the positive x direction.The origins of the two frames coincide at t = 0 and the clocks of S' are zeroed when the origins coincide.In S' the coordinate where the leading edges of the two light flashes meet and the time when they meet are:

The mass of a particle is m.In order for its total energy to be twice its rest energy, its momentum must be: