Exam 18: Relativity and Black Holes

You repeatedly measure the radial velocity of what seems to be a single main-sequence star like the Sun but find that it in fact is in a tight orbit around another object that remains unseen.From measurement of the velocity and orbital period, you calculate that the unseen object has a mass 20 times that of the Sun-like star.Why might this object be a black hole?

Hawking radiation from black holes refers to

As measured from Earth, a second of time marked by a clock aboard a fast (hypothetical) interstellar ship moving at v = 0.95c would be ________ compared with the second marked by a clock at rest on Earth.

Of all four muons produced at 15 km aboveground and schematically shown in the figure below, which one would "see" the distance to the ground as a mere 200 m?

According to Einstein's special theory of relativity, which two quantities are different manifestations of the same thing?

What is the "rubber sheet" analogy for spacetime, and why is it useful for explaining gravity and gravitational waves?

The Large Hadron Collider at CERN in Switzerland can accelerate protons to amazing kinetic energies of the order of 1.6 * 10 ^{- 7} J.What would be the Lorentz factor for a proton of mass 1.67 * 10 ^{- 27} kg at such speed?

Which of the following is a consequence of Einstein's special theory of relativity?

The laws of physics are the same in all inertial frames of reference, but the "twin paradox" says that the traveling twin will be the one that experiences time dilation and will be younger than the other twin on return to Earth.How are both of these statements correct?

What is the central idea in relativity concerning the speed of light? Describe at least two unusual consequences of this idea.

You measure that an object has a mass of exactly 1 kg.The equivalence principle says that the mass you would measure by trying to accelerate it would be

What is the significance of the Schwarzschild radius around a black hole?

Describe two early classical tests of general relativity.

How does relativity compare with Newtonian physics?

According to special relativity, spacecraft that would travel faster than the speed of light are

The equivalence principle says that

Compared with a clock on the surface of Earth, a clock on the fast-moving International Space Station runs

At what fraction of the speed of light would the $\gamma$ factor lead to a tenfold time dilation?

Photons have no mass, and Einstein's theory of general relativity says

Light that is emitted by an object near a black hole is redshifted because