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2009-10-Sem1-Exam - NATIONAL UNIVERSITY OF SINGAPORE PC1222...

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NATIONAL UNIVERSITY OF SINGAPORE PC1222 FUNDAMENTALS OF PHYSICS II (Semester I: AY 2009-10, 28 November 2009) 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 ONE help sheet in double sides no larger than A4 in size.
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Page 2 of 8 PART I This part of the examination paper contains FIVE (5) short-answer questions from page 2 to 4. Answer all questions on the answer book. Question 1: Electric Charge. Four pairs of conducting spheres, all with the same radius, are shown above, along with the net charge placed on them initially. The spheres in each pair are now brought into contact, allowing charge to transfer between them. Rank the pairs of spheres in order of INCREASING magnitude of the charge transferred . Explain. [8] Question 2: Magnetism. A particle with unknown mass and charge moves with constant speed v = 1 . 9 × 10 6 m / s as it passes undeflected through a pair of parallel plates as shown. The plates are separated by a distance d = 6 . 0 × 10 - 3 m and a constant potential difference Δ V is maintained between them. A uniform magnetic field of magnitude B = 0 . 20 T directed into the page exists both between the plates and in a region to the right of them as shown. After the particle passes into the region to the right of the plates where only the magnetic field exists, its trajectory is circular with radius r = 0 . 10 m . (a) Determine the magnitude of the potential difference Δ V between the plates. Which plate is at a higher potential? Justify your answer. [5] (b) Determine the ratio of the charge to the mass ( q/m ) of the particle. [3] PC1222 Fundamentals of Physics II Semester I, 2009/10
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Page 3 of 8 Question 3: Magnetic Fields.
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