TE Enriched Sample (E)

Chapter Exercise 91 Chapter Exercise Unless otherwise stated, use the values of the constants provided in the Appendix for calculation. Multiple-choice Questions 1. A planet moves in an elliptical orbit as shown. A , B , C and D are four points on the orbit such that AC is perpendicular to BD . Sun C B D planet A Which of the following statements is correct? (1) The planet moves with a higher speed at A than at B . (2) The time for the planet to travel from A to B is the same as that from B to C . (3) The period of the planet is proportional to the cube of AC . A. (1) only B. (2) only C. (3) only D. None of the above 2. The ring system of Saturn is made up of a large number of icy lumps orbiting Saturn in nearly circular orbits. How does the orbital speed v of these lumps depend on the distance r from the centre of Saturn? A. v r ? B. / v r 1 ? C. v r ? D. / v r 1 ? r 3. Planet A orbits a star of mass M and planet B orbits a star of mass 2 M . If the planets are at equal distance from the centres of the corresponding stars, what is the ratio of the orbital period of A to that of B ? A. 1 : 2 B. 1 : 2 C. 2 : 1 D. 2 : 1 4. Which of the following comets has the longest orbital period? comet perihelion / AU aphelion / AU A. 67P/C-G 1.24 5.68 B. 19P/Borrelly 1.35 5.83 C. 9P/Tempel 1.51 4.74 D. 81P/Wild 1.59 5.31 5. Three planets move in elliptical orbits around the Sun. The semi-major axes of their orbits are in the ratio 1 : 2 : 3. What is the ratio of their orbital period? A. 1 : 2 : 3 B. 1 : 2 2 : 3 2 C. 1 : 2 3/2 : 3 3/2 D. 1 : 2 2/3 : 3 2/3 6. Two identical satellites X and Y are placed in two separate circular orbits around the Earth. X is at a higher orbit than Y . (a) Which satellite has more KE? (b) Which satellite has more gravitational PE (more positive)? (a) (b) A. X X B. X Y C. Y X D. Y Y 7. The solid lines in the graphs below represent the gravitational PE of satellites moving around the Earth in various circular orbits of radius r . Which of the following (dotted lines) best represents the corresponding mechanical energy? A. energy 0 r B. energy 0 r C. energy 0 r D. energy r 0 D (3.2) D (3.2) D (3.1) C (3.3) C (3.3) Modified from IB HP1 May 2008 Q8 C (3.1) B (3.1) DSE Level-up Companion For more chapter-end questions (mock DSE type), see Level-up Task 63B . Sample © United Prime Educational Publishing (HK) Limited, Pearson Education Asia Limited 2023 All rights reserved; no part of this publication may be reproduced, photocopied, recorded or otherwise, without the prior written permission of the Publishers.