Question

Part II: Short answer (5 pts. each) Give a short answer to the following questions (1-3 sentences and/or a brief sketch) Make a crude sketch of the world line of a particle initially at rest which then accelerates in the-x direction for a short time, then travels at constant velocity. 1. What is the relation between decay constant and half-life? Prove this relation with a few lines of algebra. If needed, start with the formula mentioned in Essay #1, below. 2. . Which coordinate transforms are "good" in S.R. and which are bad? What do I mean by that? What is an event? 4. 5. How might we "see" a black hole, at least, indirectly? I can think of at least two ways

Answer 1

1.

2. Decay constant,

0.693 t1/2

4. An event is a formation or decay of a particle into smaller particles or into energy, i.i. the annihilation or creation of matter in space time is called an event.

5. Black holes can be indirectly seen by observing the energy emission near the center of the suspected black hole.