Quiz2_Solution

# Quiz2_Solution - Quiz 2 Monday February 4”“ 2008 PHY...

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Unformatted text preview: Quiz 2. Monday, February 4”“, 2008 PHY 252 SOLUTION Name: 1. An open pipe of length L has a speaker at one end that can emit sound with adjustable frequency f. a. Write down an expression for the resonant wavelengths in in terms of the pipe length L. 2 L (1 point) V1 9(— 1”: b. If the velocity of sound in air is 12, write down an expression for the resonant frequencies f”. - 1 point) v:_':<:’.:§uqr“ U'topnﬂdwawLw-miué'w a. mule ﬁW made 5; .. U’ .. a U" I u " “'- - ---— mu 1L. c. On the diagrams below draw sinusoidal/cosinusoidal curves indicating how the air displacement, air pressure, and air density vary as a function of position in the pipe for the second overtone. (3 points) Second overtDMe '~‘- "blur-J harmonic. , 12. 11:3 Displacement [j P a~§1La+ksiu u: 4 . ax ‘ “*9 Density Iﬁ d. If the left end of the pipe is at x = 0, and the right end is at x = L, write down an appropriate expression for x(x,t) for the ﬁmdamental mode if its amplitude is A. (1 points) it. 3 animal‘s Ci eucLS Pu “ “101: Van: £4936th? x(x,z)= Acos(K.,oc—w,:t) + Am(l<.oc+w.i) ~—-'* Auﬂcrf; iglcuc = Acos[l£(0c-U~Jt)] + HmL-rfrCar-wiﬂ -——'—"‘ z: 2 A Sidewica M (Recall. «Mu-rs) .1: (mde —-sin~ozs'ml3> Quiz 2. Monday, February 4‘“, 2008 PHY 252 Oxamlcs llnldtllf.‘ Cur hum-xi: 2. The auditory canal of the human ear extends about - 7_ - ' ,Plncuulsunnnen 2.5 cm from the outside ear to the eardrum. ' ” ' .4 '_ WM“ “‘“m a. Why is the human ear especially sensitive to , sounds at frequencies around 3,500 Hz? l‘ _ _ r_ _ Use v = 344 m/s. You may draw a simple * ' a. * iii-ditprycanul“: diagram to assist your explanation. (2 points) ' '7 " ' m w M -.. wads ' g on We ﬂ Slupcx {sun up! (.‘m'hlcn ul Il'lnL‘r L'UI é- L———? L92 (0014.! mm far 9L”: 1:5.- n=I,3,S.... A1: 315001451, 1 = 1'; 3%”,5 g 0.lm 3500”: .2 im- Mme at!" nzl J m m L =ﬁn7L&: thROJ ._.. 0.02:... = 2.5.2:... l_ new, ad: aroma, 29L; same M0511. 'm new Mil-L 25L:— a-Mu'agj and.) We ﬂue. wt: sew-Jada. b. Would you expect the ear to be sensitive to frequencies around 7,000 Hz and 10,500 Hz? Explain why/why not. Again you may use a diagram, as well as words. (2 points) "T’LL 11:2. hunt; oi 7,000H; ILA “swam Lu. .1 autumnal pipe_ .'. Ue engined no 510% ai' Zoooﬂ; Recall at“ = gut. n=u3,S"-~ Tl“!— VL=3 Ina-ode 4:!- IBIS-00H). lea afedaal 'L‘o log MAO-wad", dual .50 we w Quitch ...
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## This note was uploaded on 05/11/2008 for the course PHY 252 taught by Professor Treacy during the Spring '08 term at ASU.

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Quiz2_Solution - Quiz 2 Monday February 4”“ 2008 PHY...

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