exam_2_t_thur

# exam_2_t_thur - PHYS 122 Exam II November 5 2009 Prof S.M...

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Unformatted text preview: PHYS 122 Exam II November 5, 2009 ' ' Prof. S.M. Bhagat [email protected]%Sb&MTMN (Sign in ink, print in pencil) Notes: 1) There are six (6) problems in this exam. Please make sure that your copy has all of them. 2). Please show your work, indicating clearly what formula you used and What the symbols mean. Just writing the answer ‘will not get you full credit. In stating vectors give both magnitude and direction. 3) Write you answers on the sheet provided. 4) Do not forget to write the units. 5) Do.not hesitate to ask for clariﬁcation at any time during the exam. You may buy a formula at the cost of one point. Take care! 'God Bless You! N v m2 _ T — m a=%w y,m=wwtjw so = 9x10"12 5 m Mass of proton m p = 1.6)c10727 kg Mass of electron me = 9x10“3| kg Elementary Charge e = 1.6x10"l9 C \. ~ A LA Vﬁ'pi Problem 1 In 2-slit interference using light of wavelength xi , the ﬁrst minimum occurs When sin 61 = where d is the split separation. In single—slit diffraction the ﬁrst minimum is at . xi 8111 0, = — w (16) where w is the slit width. What accounts for the difference? TN ,2?“ “maﬁa i‘m 1:377 mama, W0 4 Sim/ark m Whm’ WW: uni/MM? I (MI-- “1) " 1):, “A” heme-e. C .S‘e. 4’. yams») NLﬂma—e Matt/W29“) 6%, Wren. anM "(A bf“ WWW V 3::sz am ’3 Wtw Law“ “PM a“; Mamie. W“ W hgrw JM MM“? hie” ‘ {5% ﬁ’m). (t W mug, (ewwg (43>) 75W 5:454; Wm‘mwm @5'0‘ ‘ Ship]:- 5 2L?» W‘ﬂ” elf/m“: 2;, '2’ £5va ‘ “3:? “I \$251,), WC; \$25.:- tanmm mfw ' i ' at» . my 7 H ' EMA/Eﬁwévﬁé; “M” Wes-«Am We 4% hazsz lat-«4:42 “a; Hana. ' 2 Problem 2 Plane and spherical mirrors form images given by the equations 1 1 2 _+_=_,m=_£ P q r q where p =object distance, q =image distance, r=radius of the mirror, m =magniﬁcation. How do you distinguish among a plane, a concave and a convex mirror? Support your answers with diagrams. (16) e "‘7 “ (mt WW“) . M Mme. V‘iw4uwtl WPVIJW ,, , -:. l, A” [Mag '7!” P'W p,“ t. a as ‘ M Mm We ‘3 mm? 33W. we) 5 (can ' H'\M% as, La duel ﬁes We, (.44 MCWD’L V} WLV m . RM "‘44 , gag, , e; , Lin,ng EDELM‘ Problem 3 Show that with a convergentlens or mirror a real image can never get 1 ‘9 C D mop/am a *Wch) M 4:7 Tm ’g‘f/W 2W x ,4“ a, J... closer than the focal point. (16) L M I .6“ ! U’er. WWW“ ﬂ Problem 4 with spring constants 103 N / m .They are in equilibrium when the separation is 0.1 m . Calculate q. (neglect friction and each spring is squeezed by 0,05 m) The picture ShOWS two equal charges (q) attached to two identical springs (16) 4’ ﬁx " Km :ﬁwe 6M ﬁWlm W‘Vﬂl’MtMy 5d: +Zsl‘imwe, - V w , Thw'ﬁ wwwﬁw‘g‘é QZZKWWEMF ﬁo‘ 45% (gum/33;) 63m. D'M, J/{A wag-ma, C45 . W “35? as 9/ A. I ' A 7: .. - Caveat. FEE?» hﬂcm 3:: diff" «a: z m A3”? ME" I g: 0‘05"” at“ / Mb 5 &AlIW\ quma“ We.» “HUB Tm?“ A I :50 “in lb 3% <53, w (075% yaw/Um WW (0%)?" mg‘x was»; all)? 7”“ 5 “A (3; avg; - LL H _.m.r~»«- ,W C I“ I (imam éﬂﬁﬂ“ —“ ﬂaw wéﬂvm > W Wj‘ﬁm £123“le “5"” ‘ W. ' 7 r. 2r» «L» 2? '” 7 raj”; a} CM 3 “WWW” (6) Problem 5b The picture shows several stationary charges enclosed in a closed surface. i) What is the total ﬂux of the E — ﬁeld through the surface? Why? ii) What is the E — ﬁeld on the surface? Why? (10) Problem 6a A parallel plate capacitor with plate area A = ~2m2 is ﬁlled with air and the plate separation is 1 cm . Put charges i lOyC on the plates. What is the potential difference betWeen the plates? Why? (8) A m 24"“; Q '""' (“Knew —C dﬁwﬁ% 43m 3:4, Mutt pg: 6‘14; a M WM?“ AV 3: W“ ‘fwb'ﬂ’ Ava «gt bf A594 .wa mg mg ‘ 5'9 AVIg —- 57cm lax ID Vali‘m ‘ ‘m‘c’f paws'WALI‘W/H. .“ ’r” Problem 6b Place a conducting slab of area 2 m2 and thickness 0.5 cm between the plates. What is the potential difference between the plates? Why? (8) Q2 2Co . of werk, Where does the energy go? Why? (4) Problem 60 In order to place a charge Q on a capacitor C0 you need to do , joules 2 A1 w-e Saw- “"1 Am ﬂaw“ MW- ‘6) m 663\$ smﬁg QDTQH (it? WWW e“. w gm} 44“. Cam EW 63% bWﬁm. Maw-n. M egmedv LL” a“: 2.5g 5"; wﬁwwt, ...
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exam_2_t_thur - PHYS 122 Exam II November 5 2009 Prof S.M...

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