b mm ) 61,2cc 7r>2 ; ff!zil s_c, 3Cm left 0ç0//r /24 & Physics 221: Final Exam, Spring-il - 1 k:&- 4 5; 4 ) _1_ 5_C:, 1f imdfd? Name: Section.

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1 Name: Section. No: ) 61,2cc 7r>2 ; ff!zil b mm 1 Ft;I 1f imdfd? s_c, 3Cm left 0ç0//r 7,:1, /e1f 2 - I _1_ I, 5; 4 ) / - 1 k:&- 4 /24 & I 5; d) what is the overall magnification? c) is it upright or inverted? r R YC - Considering only the light that leaves the object and travels first towards the mirror: 25M cm. The mirror s radius of curvature is 20 cm, and the lens has a focal length of 167 cm. a) locate the final image formed by this system b) Is this image real or virtual? f )1 / I 5_C:, Object Mit oi Lens 1. (12 pts) The object is midway between the lens and the mirror which are separated by a distance of 250cm Physics 221: Final Exam, Spring-il -2.

2 ye#i tl;;-i fringe of the blue light., 13 \) 4) m51 4J_ L9 D 1 -f Z/L) S 6 4- ve-mc &he incident light includes two wavelengths: 2L 540 nni (green) and X2 450 nm (blue). The overlapping interference patterns are observed on a screen 1.40 m from the slits. Calculate the minimum distance 2. (1 0 pts) In a Young s interference experiment, the two slits are separated by mm and the 1 0. m/1. from the center of the screen to a point where a bright fringe of the green light coincides with the bright

3 2id P1? Tk r& the incident light? 1 / s1, ss them. If only 25% of the light gets through both of them, what was the initial polarization direction of 3.( 10 pts) Two polarizers are oriented at 480 to each other and plane polarized light is incident upon ZS

4 ;/zlh,--, MD1 0 J Li L$IYL J-fJ e-stc17 kj Is below the point of suspension. Find the frequency of vibration of the system for small values of 0. Assume the 4. (10 pts) A pendulum of length L and mass M has a spring of force constant k connected to it a distance H vertical suspension rod of length L is rigid, but ignore its mass. Express your answer in terms of L, k, H, and g.

5 wave travels along the string from the center to the block? 17 VT -1-- I F-, 1/ 2/ frictionless table. Through what angle does the block rotate in the time interval during which the transverse cord is attached to a tixed point. The block rotates with constant angular speed in a circle on a horizontal 5. (12 pts) A block of mass kg is attached to one end of a cord of mass kg; the other end of the 7;: P1

6 1 520 rn/s as the speed of sound in ocean water, ship tiansmits a sonai signal at a hequn of 1200 Hz hat frequen is monitored h thc leading ship USL - / jf1 /77/ - - c r &O ui/s / lkz / I / D J39S r i -c-o *1i 2t Hev O cevvv h/ 4se /s f q ie1-> A c12gw3 obseration pomt of 64 0 km/h and thl leading ship has a speed of 45 0 krn!h relative to that point The trailing 6. (10 pts) Two ships are moving along a line due east. The trailing vessel has a speed relative to a land based

7 J_L O cs-i- of the pipe required to resonate with the bar in part a)? 1AJ A,jA sound. If the pipe is open at the top end only and the speed of sound in air is 340 mis, what is the length EL TL 27-2S t,=4r, standing wave having three antinodes and two nodes. The lowest frequency note is 87.0 Hz, produced 7. (12 pts) The wooden bar on a marimba which sounds the tone when struck vibrates in a transverse 14 i? by a bar 40.0 cm long. a) What is the speed of transverse waves on the bar? 342)b*.= c,?_3;, 7/- 3 C L 4L c 3 g4r;fldds 42 pu,d-&. b) A resonant pipe suspended vertically below the center of the bar enhances the loudness of the emitted

8 r0l4, 1.43fIC b) Starting with the 1 law of thermodynamics compute the work in terms of n, Cv, T1, and T. c) Show that these two expressions are equivalent to one another. C -/) Yl c v Iv c-i, Cp c VçflT c L) -c1lv k) d cc1t,) 1 L: csv V, 1 v _ i, a)using the condition pv = const. Compute the work done by the system for this process and express your answer in terms ofy. pi. V1 pi, V. \ state pj, V) to a final state (pr, V. 8. (12 pts) A cylinder containing n moles of an ideal gas undergoes an adiabatic process going from a L 4 -tj:

9 , ) ce c1q d z:o and b) c) What is the entropy change for the isothermal process ab using the results already obtained in parts a) b) What is the entropy change for process bc? P Pi _t. /SaL_ /SSe 4, =.6S24.,a. Sc::= S- S 1CL./ 3V T ds cl yi final state with pressure P and volume 3V1. with pressure P1. and volume V1, and expands isothermally, and then contracts adiabatically to reach a 9. (12 pts) A system consisting of n moles of an ideal gas undergoes two reversible processes. It starts recalling that dq ncpdt. Express your answer in terms of n and Cp. a) First compute the entropy change in going from a to c along the isobar assuming you are given Cp