2010-11-Sem1-Exam - NATIONAL UNIVERSITY OF SINGAPORE PC1222...

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NATIONAL UNIVERSITY OF SINGAPORE PC1222 FUNDAMENTALS OF PHYSICS II (Semester I: AY 2010-11, 2 December 2010) Time Allowed: 2 Hours INSTRUCTIONS TO CANDIDATES 1. This examination paper contains FIVE short questions in Part I and FOUR long questions in Part II. It comprises EIGHT printed pages including the cover page. 2. Answer ALL the questions in Part I and any THREE questions in Part II. 3. Answers to the questions are to be written in the answer book(s) and only answer book(s) should be submitted at the end of the examination. 4. The total mark for Part I is 40 and that for Part II is 60. 5. This is a CLOSED book exam. You are allowed however to bring in TWO help sheets in double sides no larger than A4 in size. 6. A list of physical constants is provided on page 2.
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Page 2 of 8 List of Physical Constants Permittivity of the vacuum: ε 0 = 8 . 85 × 10 - 12 C 2 / ( N · m 2 ) Coulomb’s constant: k = 8 . 99 × 10 9 N · m 2 / C 2 Mass of electron: m = 9 . 1094 × 10 - 31 kg Magnitude of charge of electron: e = 1 . 6022 × 10 - 19 C Electron volt: 1eV = 1 . 6022 × 10 - 19 J Permeability of the vacuum: μ 0 = 4 π × 10 - 7 T · m / A Speed of light: c = 2 . 9979 × 10 8 m / s Planck’s constant: h = 6 . 63 × 10 - 34 J · s Mass of proton: m p = 1 . 6726 × 10 - 27 kg Mass of neutron: m n = 1 . 6749 × 10 - 27 kg Rydberg’s constant: R = 1 . 097 × 10 7 m - 1 Bohr’s radius: a 0 = 0 . 0529nm Atomic mass unit 1u = 1 . 6605 × 10 - 27 kg PC1222 Fundamentals of Physics II Semester I, 2010/11
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Page 3 of 8 PART I This part of the examination paper contains FIVE (5) short-answer questions from page 3 to 4. Answer ALL questions on the answer book. Question 1: Electric Fields. [4+4] A point charge Q = - 900 × 10 - 9 C and two unknown point charges, q 1 and q 2 , are placed as shown. The electric field at the origin O, due to charges Q , q 1 and q 2 is equal to zero. (a) Determine the sign and magnitude of the unknown charge q 1 . (b) Determine the sign and magnitude of the unknown charge q 2 . Question 2: Circuits. [4+4] The circuit above contains two resistors, R 1 = 2 . 00k Ω and R 2 = 3 . 00k Ω , and two capacitors, C 1 = 2 . 00 μ F and C 2 = 3 . 00 μ F, connected to a battery with emf ε = 120V. If there are no charges on the capacitors before switch S is closed, the switch S is now closed for a long time.
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