Exam 37: Relativity

The spaceship U.S.S.Enterprise, traveling through the galaxy, sends out a smaller explorer craft that travels to a nearby planet and signals its findings back.The proper time for the trip to the planet is measured by clocks:

A spectral line of a certain star is observed to be "red shifted" from a wavelength of 500 nm to a wavelength of 1500 nm.Interpreting this as a Doppler effect, the speed of recession of this star is:

If the kinetic energy of a particle is equal to its rest energy then its speed must be:

A source at rest emits light of wavelength 500 nm.When it is moving at 0.90c away from an observer, the observer detects light of wavelength:

An observer notices that a moving clock runs slow by a factor of exactly 10.The speed of the clock is:

A particle with rest mass m moves with speed 0.6c.Its kinetic energy is:

Observer A measures the velocity of a rocket as and a comet as .Here and are parallel and in the direction of the observer's positive x axis.The speed of the comet as measured by an observer on the rocket is:

How fast should you move away from a 6.0 *10¹⁴ Hz light source to observe waves with a frequency of 4.0 * 10¹⁴ Hz?

According to relativity theory a particle of mass m with a momentum of 2mc has a speed of: