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P125Fw99-sol

# P125Fw99-sol - UNlVERSffY OF WATERLOO DEPARTMENT OF PHYSICS...

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Unformatted text preview: UNlVERSffY OF WATERLOO DEPARTMENT OF PHYSICS Physics 125 (Sections IBI, IBK, IBM, IBQ)- Physics for Engineers - FINAL EXAMINA nON K-SECfION NAME (print) I.D.# SIGNATURE Winter Tenn 1999 April 12. 1999 9:00 am- 12:00 pm INSTRUCTOR (Cross your Prof!) DLeslie DScholz Computer 111 Mechanical 111 DTonie Computer 333 DDarnaskinos Chemical 999 DRibes Civil sss AIDS PERMmED: One 8.5" x 11" sheet (both sides) Calculator Ruler for Ray Tracing INSTRUCTIONS: Grade TOTAL PART B has 5 questions worth 12 marks each. a) Recommended time per question: 20 minutes. b) Enter answers in boxes where provided. c) Partial credit is given for a correct approach provided you show clearly what you are doing. USEFUL INFORMATION Density of air = 1.29 kg/m3 hc= 1240eV.nm me = 9.11 x 10-31 kg nip = 1.67 X 10-27 kg g = 9.8 m/s2 c = 3.00 X 108 m/S I eV = 1.6 x 10-19 J V = Velocity of sound v = .J"ii7P B = bulk modulus p = density mHYDROGeN AlUM ~Inp Hearing threshold 10 = 10-12 W/m2 h = 6.63 X 10-34 J.s e = 1.6 x 10-19 C F." = ~ eV (Bohr theory) n2 . A . B 2 . ( AI B) { A+B) sIn Ism = sm ~ co ~ Velocity of sound = 340 m/s CARDS Wn.L BE COU.ECfED AFTER 2 1/2 HOURS : r~~~~~~::;; '/ /' 6 k ~71t1A1 A-I<I S trlaSS'-J... 'Yr\ . A uniform rod of length I~ has its motion restricted to rotating in a horizontal plane due to a frictionless vertical pin through the centre of the rod. An unstrelched spring of spring constant k is altached between a wall and the end of the rod. What is the period for small oscillations (9 small) in terms of k. L, and m? ~ ~.~-~ 1.; a) 2nJ* b) 2n& c) 21f~ ~L- 9- ~ XIf::::'l:-L ~L 2. J2O-- - -kL9' 12 ~l.. - T 1. 2-'. ED: -:::: -13..t e ~t-'2- 4--rn 1..-:;:- ~ . - , - ~~ 2T.~ w V~ -. -~~ V~ }1t I<J :;1. 2. When a tuning fork falls into a deep well, a constant beat frequency of 8.0 Hz can be heard at the top of the well due to sound coming directly from the tuning fork and sound being reflected off the water at the bottom of the well. If the fork is vibrating at 88 Hz, at what tenninal speed (mlsec) is it falling? Assume that the velocity of sound = 340 mls. a) 61.6 § c) 8.6 d) 25.4 e) 32.8 .J' +'-[~--,.f == I~ ) 8'1 ::::; \'15""f~) l3~-f~- . e . ~ f ::::- ~~ ff ! -+ ~) U :f If :=,(-+ ~ Kr f"--f'4 ...:?;~yKf = f-f ". , ~ r ~ -:1f=-~ '1/S'~ t= :f "-- '--- , .;~ CARDS WILL BE CO~crED AFfER 2 1/2 HOURS x ~ =- IS": 4 C;-7f1!s Page 3 of 11 Physics 125 Final Examination GlASS' I' / / 3. PrIfJ--- ~ ~ If./C /pE1I'T' A ~M Wfl~ A ~ lens as illustrated has r( = 5.00 cm and r2 = 3.00 cm with a separation of 2.00 cm between points A and B on the two surfaces at the optic axis. There is air, n = 1.00, in. front of the lens and water, n = 1.33, after the lens. This lens is made of glass with n = 1.50. If a beam of light, parallel to the optic axis, is incident on the thick lens from the air side, where will it be brought to a focus? Answers are in cm and are measured relative to B, with positive numbers being to the right of B and negative numbers being to the left of B Answer in cm.and negative numbers being to the left of B Answer in cm....
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P125Fw99-sol - UNlVERSffY OF WATERLOO DEPARTMENT OF PHYSICS...

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