Phys102 Final-061 Zero Version Coordinator: Nasser Wednesday, January 24, 2007 Page: 1

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1 Crdinatr: Nasser Wednesday, January 4, 007 Page: 1 Q1. Tw transmitters, S 1 and S shwn in the figure, emit identical sund waves f wavelength λ. The transmitters are separated by a distance λ /. Cnsider a big circle f radius R with its center halfway between these transmitters. Hw many interference maxima are there n this big circle? A) B) 5 C) 1 D) 6 E) 8 Sec# Wave Mtin - Superpsitin and Interference f Waves Q. A pipe is clsed at ne end and pen at the ther end. The length f the pipe is 1.50 m. The air clumn in the pipe can resnate with a sund surce f frequency: [speed f sund in air = 348 m/s] A) 174 Hz B) 116 Hz C) 30 Hz D) 00 Hz E) 5 Hz Sec# Sund Waves - Standing waves in Air Clumns Q3. A steel rd is exactly 15.4 m lng at 35 C; its length at -10 C is 15.3 m. What is the cefficient f linear expansin f steel? A) K -1 B) K -1 C) K -1 D) K -1 E) K -1

2 Crdinatr: Nasser Wednesday, January 4, 007 Page: Sec# Temerature - Termmeters and Temperature Scale Q4. Fur mles f xygen are cnfined t a 10-liter vessel at a pressure f 5.0 atm. What is the average transnatinal kinetic energy f an xygen mlecule (O ) if its mass is kg? A) J B) J C) J D) J E) J Sec# The kinetic Thery f Gases - The Equipartitin f Energy Q5. Fr the mnatmic gas in the fllwing figure, calculate the change in the internal energy f the prcess b -> c. P (Pa).5 b d 0.5 a c V (m 3 ) A) 37.5 J B) 100 J C) 1. J D) 0.3 J E) 49.0 J Sec# The kinetic Thery f Gases - Specific Heat f an Ideal Gas Q6. A Carnt refrigeratr extracts 35 kj f heat during each cycle and perates between reservirs at temperatures f 60 K and 300 K. What is wrk dne per cycle? A) 5.4 kj B) 30 kj C) 4.7 kj D) 63 kj E) 40 kj Sec# Heat engines, entrpy and the nd law - The Carnt Engine

3 Crdinatr: Nasser Wednesday, January 4, 007 Page: 3 Q7. A.5 0 kg cube f aluminum is heated t 9.0 C and then drpped int 8.0 kg f water at 5.00 C. Assuming that the cube-water system is thermally islated, what is the system s equilibrium temperature? [Specific heat f the aluminum = 900 J/kg.K] A) 10.5 C B) 99.5 C C) 1. C D).4 C E) 11.7 C Sec# Temerature - Temperatur and the First Law f Thermdynamics Q8. If the electric field is 1 V/m in the psitive x-directin, what is the ptential difference between the rigin, (0, 0), and the pint (3m, 4m)? A) 36 V with the rigin at the higher ptential B) 48 V with the rigin at the higher ptential C) 48 V with the rigin at the lwer ptential D) 36 V with the rigin at the lwer ptential E) 100 V with the rigin at the lwer ptential Sec# Electric Ptential - Obtaining E frm the Electric Ptential Q9. Tw hllw metal spheres f radii R 1 and R carry an equal electric charge Q. The spheres have ptentials V 1 and V at their centers, respectively. If the rati V 1 /V is equal t 3, what is the value f the rati R 1 /R? A) 1/3 B) 3 C) 1/9 D) 9 E) 1 Sec# Electric Ptential - Ptential f a Charged Cnductr Q10. 3 A cpper wire has a radius f m and carries current f 1.67 A. Find the resistance 7 f a 50 m length f this wire. (The cnductivity f cpper = Ω.m ) A) 1.0 Ω B) 0.3 Ω C). Ω D) 0.4 Ω E) 0.6 Ω Sec# Current and Resistance - Resistance and Temperature

4 Crdinatr: Nasser Wednesday, January 4, 007 Page: 4 Q11. Tw capacitrs C 1 = 3.0 µf and C = 9.0 µf are charged, separately, t a ptential difference f V = 30 V but with ppsite plarity as shwn in the fllwing figure. Switch S1 and S are clsed. What is charge n capacitr C after clsing the tw switches? A) 135 µc B) 360 µc C) 90 µc D) 70 µc E) 180 µc Sec# Capacitance and Dielectrics - Energy Stred in a Charged Capacitr Q1. Find the ptential difference acrss 30 Ω resistr, when it is cnnected acrss a battery f emf 6 V and internal resistance f 0.5 Ω. A) 5.9 V B) 1.3 V C) 6.5 V D) 5.0 V E) 4.8 V Sec# Current and Resistance - Ohm s Law Q13. Three resistrs are cnnected as shwn in the fllwing figure. The ptential difference between pints A and B is 30 V. Hw much current flws thrugh the 4-Ohm resistr? A).3 A B) 8.7 A C) 4.0 A D) 10 A E) 6.0 A

5 Crdinatr: Nasser Wednesday, January 4, 007 Page: 5 Sec# Direct Current Circuits - Resistrs in Series and in Parallel Q14. Tw ideal emf surces alng with tw resistrs are cnnected as shwn in the fllwing figure. If the ptential at A is 150 V, what wuld be the ptential at pint B? B 5 Ω 00 V 80 V 3 Ω A A) - 5 V B) - 7 V C) 6 V D) 8 V E) 10 V Sec# Direct Current Circuits - Kirchhffs Rules Q15. What is the ttal pwer dissipatin in the circuit shwn in the fllwing figure. 3 Ω 0 V 4 Ω Ω 5 Ω A) 43 W B) 50 W C) 55 W D) 61 W E) 48 W Sec# Direct Current Circuits - Resistrs in Series and in Parallel Q16.

6 Crdinatr: Nasser Wednesday, January 4, 007 Page: 6 Cnsider a series RC circuit as shwn in the fllwing figure, where R resistance R a 6 = Ω, C = 5.0 µf and ε = 30 V. If the switch is clsed at t =0, what is the current in t time 10 s after th e switch is clsed? ε C S R A) B) C) D) E) A A A A A Sec# Direct Current Circuits - RC Circuits Q17. The figure belw shws a small psitive charge q mving tward a lng current-carrying wire. Which f the arrws labeled A t D crrectly represents the directin f the magnetic frce applied n the charge? A) C B) A C) B D) D E) The frce pints in a directin perpendicular t the plane f the figure. Sec# Magnetic Fields - Magnetic Field and Frce Q18.

7 Crdinatr: Nasser Wednesday, January 4, 007 Page: 7 A charged particle is mving with speed v perpendicular t a unifrm magnetic field. A secnd identical charged particle is mving with speed v perpendicular t the same magnetic field. The frequency f revlutin f the first particle is f. The frequency f revlutin f the secnd particle is A) f B) 4f C) f/ D) f E) f/4 Sec# Magnetic Fields - Mtin f a Charged Particle in a Magnetic Field Q19. 7 An electrn with a velcity v = ˆi (m/s) enters a regin f space where perpendicular electric and magnetic fields are present. The electric field is E = 10 4 ˆj (N/C). What magnetic field (in Tesla) will allw the electrn t g thrugh undeflected? 4 A) B = + (.0 10 ) kˆ 4 B) B = + (.0 10 ) ˆj 4 C) B = (.0 10 ) ˆi 4 D) B = (.0 10 ) kˆ 4 E) B = + ( ) kˆ Sec# Magnetic Fields - Mtin f a Charged Particle in a Magnetic Field Q0. A mving charge has a velcity v = v ˆ i (v > 0) when it enters in a regin where there is a unifrm magnetic field. The magnetic frce acting n the charge is F = F ˆ k where F > 0. Which f the fllwing expressins crrectly represents the rientatin f the magnetic field? (Take B > 0). A) B = B ˆi ˆ + B j B) B= B ˆ ˆ i+ Bj C) B = B ˆi ˆ B j D) B = B ˆi ˆ B j E) B= B ˆi+ B kˆ Sec# Magnetic Fields - Magnetic Field and Frce Q1. A hrizntal, lng current-carrying wire is hanging frm a vertical thread. The current is riented int the plane f the figure shwn belw. A unifrm magnetic field is applied and

8 Crdinatr: Nasser Wednesday, January 4, 007 Page: 8 the wire is pulled away frm the vertical. Which f the arrws labeled A t D crrectly indicates the directin f the magnetic field? A) C B) A C) D D) B E) The magnetic field is riented int the plane f the picture. Sec# Magnetic Fields - Magnetic Frce n a Current-Carrying Cnductr Q. The radius R f a lng current-carrying wire is 4. cm. If the magnetic field at r > equal t fur times the magnetic field at, r R, calculate the distance r. r 1 = 3.0 cm is A) 3.5 cm B) 1. cm C) 6. cm D) 8.0 cm E) 43.1 cm Sec# Surces f the Magnetic Field - Ampere s Law Q3. Tw lng straight wires are parallel and carry current in ppsite directins. The currents are 8.0 and 1A and the wires are separated by 0.40 cm. The magnetic field in tesla at a pint midway between the wires is: A) B) C) D) E) 0 Sec# Surces f the Magnetic Field - Magnetic Frce Between Tw Parallel Cnductrs Q4.

9 Crdinatr: Nasser Wednesday, January 4, 007 Page: 9 An infinitely lng wire has a charge density λ per unit length. The wire mves alng its axis with a velcity V. The rati f the magnetic field t the eclectic field at a pint r frm the wire is: A) independent f r B) directly prprtinal t λ C) prprtinal t r D) inversly prprtinal t r E) inversly prprtinal t r Sec# Surces f the Magnetic Field - Ampere s Law Q5. A 600-turn slenid is 40 cm lng, has a radius f 0.6 cm and carries a current f 3.0 A. The magnitude f the magnetic field at the center f the slenid is: A) 5.65 mt B).5 mt C) 56. µt D) 56. mt E).5 µt Sec# Surces f the Magnetic Field - The Magnetic Field f a Slenid Q6. Suppse that the identical currents I in the fllwing figure are all ut f the page. The magnitude f the frce per unit length n the wire at the rigin is: [take I = 10.0 A, and a = 10-4 m.] A) 0.8 N/m. B) 0.18 N/m. C) 0.55 N/m. D) 0.13 N/m. E) 0.30 N/m

10 Crdinatr: Nasser Wednesday, January 4, 007 Page: 10 Sec# Surces f the Magnetic Field - Ampere s Law Q7. The diagram shws three equally spaced wires that are perpendicular t the page. The currents are all equal, tw being ut f the page and ne being int the page. Rank the wires accrding t the magnitudes f the magnetic frces n them, frm least t greatest. A), then 1 and 3 tie B) 1,, 3 C) and 3 tie, then 1 D) 1 and 3 tie, then E) 3,, 1 Sec# Surces f the Magnetic Field - Ampere s Law Q8. Each turn f a 150-turn cil, enclses an area f 0.8 m. What shuld be the rate f change f a magnetic field parallel t its axis in rder t induce a current f 0.1 A in the cil? [The resistance f the cil is 600 Ohm] A) 0.50 T/s. B) 0.13 T/s. C) 0.4 T/s. D) 7.51 T/s. E) Zer. Sec# Faraday s Law - Faraday s Law f Inductin Q9. A wire f length L carries a current magnetic mment is: I, is bent in the frm f a circle. The magnitude f its A) B) C) D) E) IL 4π IL π 4π IL IL π IL π.

11 Crdinatr: Nasser Wednesday, January 4, 007 Page: 11 Sec# Surces f the Magnetic Field - Gauss s Law in Magnet Q30. A cnstant magnetic flux f Wb is maintained thrugh a cil fr 0.5 s. What emf is induced in the cil by this flux during that perid? A) Zer. B) V. C) V. D) V. E) V. Sec# Faraday s Law - Mtinal emf

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