What is the Hubble Time in Gyr, given the following values of Ho? a. Ho= 50km/s/Mpc b. Ho= 75km/s/Mpc C. Ho= 100km/s/Mpc

If you have a positive look (pi+, mass: mpi = 2.50 x 10-28 kg) at rest and it decays to a positive muon (u+, mass: mu = 1.88 x 10-28 kg) and a neutrino. 1. How much gas is released during the decay process in MeV? If the rest mass of a neutrino is assumed to be negligible.  2. Why is the neutrino required for this decay to occur?

Part 1: Impossible Statements Which of the following statements are IMPOSSIBLE? Choose all that are. The rocket's speed was measured to be 0.15c. The rocket's rest length is 685 m. An observer flying by measured the rocket to be 185 m long. A rocket flying away from the Sun at 0.53c measured the speed of the photons (particles of light) emitted by the Sun to be c. An inertial reference frame had an acceleration of 3 m/s². The proper time interval between two events was measured to be 237 s. The time interval between the same two events (as measured by an observer not in the proper frame) was 167 s. Part 2: True Statements Which of the following statements are TRUE? Choose all that are. The Lorentz factor, y, has a range that extends from zero to infinity. The range for the velocity of an object extends from 0 m/s to the speed of light. The elapsed time between two events (as seen in any frame) can never be less than the proper time for those two events. An object's length (as seen in…

Name: Hubble Distances Redshift z parameter The relativistic redshift is parametrized by z and given by Δ In terms of the scale factor, 2= X do - de de 1+z= ao a (2) Problem 01. Find the redshift z for a Hydrogen spectral line originally at 656 nm which has been observed at a wavelength of 1.64 μm. Astro 001 Fall 2022 Problem 02. How much smaller was the universe when this light was emitted? U₁ = DHO Using the redshift to measure the velocity, we find D~ (1) 0.1 Hubble's Law Hubble's Law states that the recession velocity of a redshifted galaxy is given by the product of the distance and the Hubble constant. (3) ZC Ho where c = 3 x 108 m/s and Ho = 2.3 x 10-18 s in standard units. The standard measurement of the Hubble constant is Ho = 71 (km/s)/Mpc. Problem 03. What is the distance in Mpc and ly to the galaxy measured in problem 01? 1 pc = 3.26 ly.