Problem 3. Consider a flat, single component universe. 1. For a light source at redshift z that is observed at time to, show that z changes at a rate Ho(1+2) - Ho(1+2)³(1+w)/2 dz dto (2.1) 2. For what values of w does the observed redshift increase with time? 3. Assuming the single component is matter and Ho = 68 km/s/Mpc, you observe a galaxy at z = 1. Using Equation 2.1, determine how long you will have to keep observing the galaxy in order to see its redshift change by 1 part in 106.

Q2 Draw a Feynman diagram for each of the reactions below. Clearly indicate all gauge bosons in your diagrams. (a) ve¯¯¯ + V₂ (b) y + y → µ³±µ˜¯

There are two new equa3ons we need to learn about in this assignment (so that we can usethem in class on Wednesday). No need to derive or prove them – just look up the twoequa3ons in the book and then use them as explained below. If there’s a symbol in theequa3on you’re not sure about, read that part of the book carefully to see what it means.A) Find and report the equa3on for the Electric field due to a long line of charge. The keypart of the book is in sec3on 21.5, example 21.10. Keep in mind that we’re interested inthe limit of a very long (infinitely long) charged wire, where the equa3on looks simpler.B) Use the equa3on from A) to calculate the electric field 2mm radially out from the centerof a long thin charged wire. Assume the wire has a uniform charge of 3nC per meterlength. Make sure you give both the magnitude and the direc3on of the E-field at thispoint, rela3ve to the wire.C) Next, find and report the equa3on for the Electric Field due to a large plate of charge(spread over…

1. What is wave-particle duality? How does it apply to photons and electrons? Why do we not generally observe this in everyday life? 2. What is the Hubble Law? What does it say about the evolution of the universe? What does it have to do with redshift?