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Test 2 Solutions(06)

Test 2 Solutions(06) - PHYS 212 Second Hour Exam 7 Name...

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Unformatted text preview: PHYS 212 Second Hour Exam 7 Name March 9, 2006 Problem Session: Hr Instr Show all work for full credit! Answers must have correct units and appropriate number of significant digits. For all the problems (except for multiple choice questions), start with some combination of (a) a fundamental equation (b) a sentence explaining your approach; or (c) a sketch. - Vsound =34O m/s 0 = 3.0X108 m/s k = 8.99X109 Nm2/C2 #0 = 475X10'7 N/A2 1. (10 pts) The shaded region in the figure has a uniform magnetic fie-1d directed Out of the page; outside of the shaded region the magnetic field is zero. The triangular wire loops marked I and H have identical sizes, shapes, and resistanCes,- and bothare traveling toward the top of the page at the same constant speed v0_ 2}) Indicate the direction of the induced current in loop I (circle one) counterclockwise b) Indicate thegdirecgtion of the inducedrcurrent in loop II (circle one) _ , " clockwise zero ., counterclockwise , zero c) How do the magnitudes of the currents in the two loops ' compare-at this moment? (circle one) 11 = 111 II< 111 ' ” . Not enough information. 2. (10 pts) Light with Wavelength 520.9 nm‘pa'sses through a single slit with a Width 1500 nm.‘ Draw a phaSOr diagram corresponding to light-falling (on a screen very far away at an angle 10.00 from the Center of the Central maximum. Give quantitative values for any angles in your diagram. ' A495 = 2““ ~ 20‘1"” <15an - . A " ’ T \\\ 2' ZTFOIoonQO Sm 00°) : ’I‘r \ . - «3:167 \ _ €20.an 3. (10 pts) The electric field in an electromagnetic plane wave in a vacuum is given by “ = 6.0x104 cos(8.07ry + 2.4x1097zt)k, where E is in N/C, y is in meters and t is in seconds. a) Determine the direction of propagation of the wave, i. e., the direction 1n which the wave is traveling. Circle one. A A A A A A +i —z + j — j ‘ + k — k none of the other choices b) Determine the direction of the magnetic ’field E at the origin (y=0) at time t=0. Circle one: A A A I: A A I +i —— z_ + j — J + k — k none of the other choices ’ aph " hows a snapshot of . ‘ at the same instant of time The waves have the Same speed and fiequency. Determine the phaSe difference A6 between theSe two waves y 4x 9 0.45 . X 2 1. ‘ 45r- ‘Zfl'LVAK 5. (12 pts) Consider a 0.75 m organ pipe with one end closed and the other end open. The pipe is playing a note with a frequency of 567 Hz. On the diagram below, sketch the resonant mode responsible for this note. As always, show all work for full credit. ‘ fiescnaml mode. 15‘ >69“: f’fe- WOJQ‘Q‘WQ'WJ'Q Atr‘z: :‘EWS : 6.6M 57:7 fl? 6. (14 ptS) While in the shower, you make a soap film between your fingers, as shown in the sketch. You see a dark region near ' Dark region . t . the top and a series of. .parallel bands of $331011) n6 ‘ ' " _ from the soap film Sttot, _ he thiCkneSs of the film at the 1 fed baIICl " of the th1rd red band. The red a wavelength of 600 nm in air. 2nd . red ’ ‘ _ __ um that the soap film is a thin layer Of the top; and assume that the light 7_ ' 1s“ m 1dent perpendicular to plane of the soap film ' 7. (14 pts) Consider a loop of wire with an initial radius of 20 cm and a resistance of 50 Q lying in the plane of the paper. The loop of wire is located in a unifOrm magnetic field Of 020' T , pointing out of the page. The loop is shrinking, and the radius of the loop is given by the function R(t~) = 0.20 — 0.05t where R is in meters and t is in seconds. : RU?) = 0.20 _ 0.05:: m Calculate the magnitude of the emf in the loop at time t — 2.0 s. ' ' "cl (19m 6M{ZIZ\>,JE \ ltoflo 49,0516) 00,05“ '(2) : :10 («lfldfi’fl 0.ao~p,os 3 " 0.0021? .5; - Gtzgxm 32/4,.[7LS ¢/ .a w 8. (10 pts) A particular device for measuring the speed of blood flow 1n an artery sends ultrasonic waves through the body and detects the waves reflected off the moving blood. In the box below, state what property of the reflected wave this device measures and how this measurement is used to determine the blood velocit . Mm: 715 A 5 ind/1M smfiVQZ/u Ul/N‘Aert U § EM MAL/7% DJ #2500“: WWI/CS. So weft/(My .4... 17 9. (12 pts) Three radio transmitters (SI, S2 and S3) are on a line with a separation of 5.0 m betWeen adjacent transmitters, as shown in the diagram. They broadcast radio waves with a wavelength of 20.0 m. A receiver (R) 1s located on the same line a distance 30 m from the nearest transmitter. At the receiver the electric field 1n the wave from each individual transmitter (i. e., with the other two turned off) has an amplitude of -70 N/C. Determine the amplitude of the total electric field wave at the receiver when all three transmitters are turned on. As always, show all work for full credit. .l' I I - 30m ...
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