By B. Crowell
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Additional info for Light and Matter - book 6 - Modern Revolution in Physics
Sample text
Although such a process can occur within a nucleus, explain why it cannot happen to a free proton. ) 5. (a) Find a relativistic equation for the velocity of an object in terms of its mass and momentum (eliminating γ). Work in natural units. (b) Show that your result is approximately the same as the classical value, p/m, at low velocities. (c) Show that very large momenta result in speeds close to the speed of light. S A solution is given in the back of the book. ✓ A computerized answer check is available.
Once the living organism dies, it no longer takes in C atoms from the atmosphere, and the proportion of 14C gradually falls off as it undergoes radioactive decay. This effect can be used to find the age of dead organisms, or human artifacts made from plants or animals. The following graph shows the exponential decay curve of 14C in various objects. Similar methods, using longer-lived isotopes, provided the first firm proof that the earth was billions of years old, not a few thousand as some had claimed on religious grounds.
If we were betting on horses or dice, we would be much more limited in our precision. After a thousand races, the horse would be ready to retire. After a million rolls, the dice would be worn out. 2 Calculating Randomness 49 Self-Check Which of the following things must have independent, which could be independent, and which definitely are not independent? (1) the probability of successfully making two free-throws in a row in basketball (2) the probability that it will rain in London tomorrow and the probability that it will rain on the same day in a certain city in a distant galaxy (3) your probability of dying today and of dying tomorrow Discussion questions A.