Physics 232 Exam II Mar. 28, 2005

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1 Phi 3 M. 8, 5 So. Se # Ne. A piee o gl, ide o eio.5, h hi oig o oil o i. The oil h ide o eio.4.d hike o. Fo wh welegh, i he iile egio, do ou ge o eleio? The ol phe dieee i gie δ Tol δ PhDieee δ i,il δ il,gl The phe hi due o he ph dieee i gie µ δ PhDieee wheeihehikeoheil. wih i il A he i-il iee ie we e eleig o ediu wih highe ide, hee i phe hi o δ i,il A he il-gl iee hee i ohe phe hi o ie we e gi eleig o ediu wih highe ide o eio. δ il,gl So he ol phe hi i he gie δ Tol µ Sie we w o eleio, we eed deuie ieee, o he ol phe hi u e.

2 Weeedoue.Sowehehe µ.4 56 Fo wh welegh do ou ge eleio? The ol phe hi i eoe δ Tol µ Now we eed o he he ol phe hi e h o ouie ieeee -. µ i ee h >. e.4 8

3 So. Se # Ne. Two loudpeke, h he ee hooked up o h he e ou o phe wih eh ohe, e eped i ee o eh ohe. A oe o eque 99 Hz i pled. Tke he eloi o oud o e e. You e dig oppoie wll log he idlie o he peke. Wh do ou he? A igle wod o phe i iuiie we. The ol phe hi i gie δ Tol δ hee δ P hdieee Sieweedigoheidlieeweehewopeke, δ PhDieee We e old h he peke e ou o phe. Thi e h δ hee Theeoe δ Tol Thi i uliple o, whih e h we he deuie ieeee d we he ohig. A ou wlk log he wll oppoie o he peke, ou oie h he die ewee ueie i i 4 ihe. How o he peke i he wll? We will eed he welegh o hi eque Weowhephehihidueophdieee d hi phe hi i gie δ P hdieee d i 3

4 The ol phe hi i ow gie δ P hdieee d i Sie we e heig i, hi phe hi i equl o ee uliple o. We lo he h o ll gle d i d i i D We he he h o d D D µ d The o D d D d µ 6 3 µ 9 8 A ew oe i pled o he peke. i oed h he epio ewee iu d he iediel ollowig iiu i ih. Wh i he ew eque? Fo eoe we he o he loio o he i h D µ d We ow eed he eliohip o he loio o he ii. We e he ol phe hi equl o he d i d i d D i D d We ow u equio o d ge µ i D d 4

5 Now e o ge D d We igoe he iu ig. Regig we ge d D The eque i he gie Hz 8 5

6 So. Se # Ne 3. Aojeipled5oheleooegigleoollegh. o he igh o he le i pled oe ioodiuouue3. Whee i he il ige? Clel deliee ou lulio!! he il ige el o iul? Wh i he oell giiio o he il ige? Thi i 3 ep pole: Tpo oje o he igh hough he le. ligh e goig le o igh Te he ige o he peiou ep he oje o he io d ele i i he io o ge eod ige. ligh e eleio e goig igh o le 3 Te he ige o he io he oje o he le gi he ligh i ow goig k o he le. Oje hough he le. igh i oig le o igh. Coegig le h poiie ol legh. S S 5 S S S S 3 Thi ige i el ie he ige die i poiie. You would e le o ee i i he io wee o hee. The giiio ohiepigie S 3 S 5 The ige i ieed d lge h he oje o hi ep. 6

7 We ow e he ige o he i ep he oje o he eod ep. The ligh i goig le o igh. Howee o ge o he "oje" o he ue we eed o go igh o le, o he oje i iul eig he oje die i egie. Sie hi oe io he diu o uue i egie, R -3. S S R S 3 S 3 3 S 3 S Thi i el ige 3 o he le o he io. You would e le o ige hi oe. The giiio o hi ep i gie S 3 S 3 Thi ige i lge h he "oje" o hi ep d he e oieio. 3 We ow ue he ige o ep he "oje" o ep 3. The ligh i goig igh o le, u he ige o he peiou ep i o he le o he le o o ge o he le we eed o go o he igh. Theeoe he "oje" die i iul d egie S 3 S3 S3 S 3 5 S 3 5 The il ige i el d o he le o he le. Sie he il ige i el, he oell ige i el. The giiio o hi ep i gie 3 S 3 S 3 5 The ige o hi ep i he e oieio he "oje" o hi ep u lle. 7

8 The oell giiio i gie Tol µ The il ige i el d hee ie lge he oigil oje d ieed wih epe o i oieio. 8

9 So. Se # Ne 4. The hip epie i puuig Roul pe. A eued oee i he eul zoe, he epie i elig w o he oee wih peed o.9. The Roul pe i elig peed o.7 elie o he oee i he e ee he epie. Wh i he peed o he epie elie o he Roul pe? Sie he eloi o oh hip e eued wih epe o he Neul Zoe, we h he upied oodie e o i. Sie we w o kow he peed o he epie ee he Roul hip, we h he oig ooddie e, S, o he Roul hip. The eloi o he pied e i he.7 d.9. The ³.9.7 µ The Roul pi ee he epie oekig hi peed o.54. Aodig o he oee he wo hip wee iiill eped die o 6 5 ee. Aodig o he pilo o he Rolu hip, how log i i eoe he i oeke he epie? The Roul pi eue hoe die h doe he peo i he eul zoe. Thi die i gie ³ 6 5 p Theieheheeueihegie eod 9

10 Phi 3 Foul Shee Siple Hoi Moio o A k K P k P T k A k F Tol Tol ω ω φ ω Dopple e S S Peiodi Moio,, o, A P k A e i i e ω µ ω ± We o Sig iege T µ igh φ o Polizio i i i Reio Releio iide eleed < leogei We B S S B e µ ε Diio D d. i i Speil Relii z z z z T T 4 p K

11 Reio Cued Sue R Mio R ; ee R R eeee.... i o eleed p d el p d ih d ei Sli Two Releed ei δ δ δ δ δ Phil Co joule ev MeV kg MeV kg C e A T N C p e oud e 3 µ ε Ueul Geoe Volue Ae el Volue Ae Sue Ciueee Ae Clide Sphee Cile

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