OER 2016 Edition

ISBN: 9781947172173

Author: OpenStax

Publisher: OpenStax College

See similar textbooks

Textbook Question

Chapter 30, Problem 55PE

Integrated Concepts

Calculate the velocity of a star moving relative to the earth if you observe a wavelength of 91.0 nm for ionized hydrogen capturing an electron directly into the lowest orbital (that is, a n i = ∞ to n f = 1 , or a Lyman series transition).

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 30, Problem 54PE

Chapter 30, Problem 56PE

Students have asked these similar questions

ROTATIONAL DYNAMICS Question 01 A solid circular cylinder and a solid spherical ball of the same mass and radius are rolling together down the same inclined. Calculate the ratio of their kinetic energy. Assume pure rolling motion Question 02 A sphere and cylinder of the same mass and radius start from ret at the same point and more down the same plane inclined at 30° to the horizontal Which body gets the bottom first and what is its acceleration b) What angle of inclination of the plane is needed to give the slower body the same acceleration Question 03 i) Define the angular velocity of a rotating body and give its SI unit A car wheel has its angular velocity changing from 2rads to 30 rads seconds. If the radius of the wheel is 400mm. calculate ii) The angular acceleration iii) The tangential linear acceleration of a point on the rim of the wheel Question 04 in 20

Question B3 Consider the following FLRW spacetime: t2 ds² = -dt² + (dx² + dy²+ dz²), t2 where t is a constant. a) State whether this universe is spatially open, closed or flat. [2 marks] b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0. [3 marks] c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A. d) The Friedmann equations are 2 k 8πG а 4πG + a² (p+3p). 3 a 3 [5 marks] Use these equations to determine the energy density p(t) and the pressure p(t) for the FLRW spacetime specified at the top of the page. [5 marks] e) Given the result of question B3.d, state whether the FLRW universe in question is (i) radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv) none of the previous. Justify your answer. f) [5 marks] A conformally…

SECTION B Answer ONLY TWO questions in Section B [Expect to use one single-sided A4 page for each Section-B sub question.] Question B1 Consider the line element where w is a constant. ds²=-dt²+e2wt dx², a) Determine the components of the metric and of the inverse metric. [2 marks] b) Determine the Christoffel symbols. [See the Appendix of this document.] [10 marks] c) Write down the geodesic equations. [5 marks] d) Show that e2wt it is a constant of geodesic motion. [4 marks] e) Solve the geodesic equations for null geodesics. [4 marks]