Key, Homework #5, AST 3018, Fall 2011

Key, Homework #5, AST 3018, Fall 2011 - AST 3018 HOMEWORK#5...

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Unformatted text preview: AST 3018 HOMEWORK #5 Key 1. if the emitted infrared radiation from Pluto has a wavelength of maximum intensity at 0.005 cm, what is the temperature of Pluto? \ M .1 a h” kfiw ‘3?» (:3, .3 <12g 5?”? max l": ‘5 :2 w “a 70 >‘Mfi-é XMM :2“; QeS—W 2. The Lyman alpha line (A = 1216 A) is observed in a very deep space object (quasar) to be 5518 A. What is its radial velocity with respect to us? a M a: N :2 WM} yrswrafl “Mew M; A we? m H393 5w l e; in $3? a w ,i x" a" a ft- (3) ".01“ $5 flLMva-E fl t“ W! E éhvfie} #52" l 2+ (il... fl) {2” 3. If the Moon can be photographed in one second with a telescope of 50—cm aperture and 100-cm focal length, how long a time would be required to photograph the Moon with a telescope of 100-cm aperture and 400-cm focal length? F, at r. L‘ .— w M, w” 05?: (5‘22”; 356WP”~E S}! with) GM flaw—w lQ-E MEéJ/ifflfgfl W :3: WC TF2: a?" 3;;ch w. 331;; (Maw $3céfg-QE 0.» if (it. a” Q 2:6? f f1“ 22,? ~* 2*. Ti "9.32 3’3” . i ”a... u, 1 W a W A f gr I g -' “[3 "" New... Ea“; e Q E. EjEEE #7.» HQ if“ E 5‘33 ‘ M“ E E2. .—... it Smog; THE“ W; WEEEE’MfiEW E35 age? p, M2» 7 THE EEEQEEEEEEJEEEL jam MSeD Egg “FEE-E555 ggfggufi Efifésmfie} EEEEEe EEE #53 6,455 E5 ~E $5343 4. What is the smallest angle that could theoretically be resolved by a S—m telescope at a wavelength of 5000 A? L; )‘E r: .5335} fl") EX 3? 5mm ...., 1.2»; )\ 04 ‘" ”35;?" 7 7) A“ - we», calf __,, gee-341"! fxxfg . w M/ Lzrxffg kfidégkfii “£13 Béfififl'gfifi We ' EEEE’EE WE fl - ,r> m" fifia 353:: 5. 'If the Grand Canary Telescope (aperture 10.4 meters) were used as a radio telescope to observe radio waves of 20—cm wavelength, how accurately could it locate the direction ofaradiosource? A r: 25 W .3" £3,433 M .._ .23 wL “f 31A QSfEDflEfWo 5L4: 9 c... 539% ‘ QEEEE‘E‘Q‘“ 3; M's “far; LE3? fige 0.1; was... :30 OZBJRE‘E EA» 7) CE WM jg pf 9,4,”; @035}; 6. If an incandescent light bulb has a luminosity L = 60 W and a filament temperature ofT = 2900 K, what must be the surface area of it's filament? If the filament consists of cylindrical wire with diameter d = 4.6 x 10’5 m (as in a standard incandescent 60 watt, livoltbgb),whatisthelfengthoftewurgi 23ng 5%.“; T:%§M if N «Pi—1w :5 ‘77“ f? "‘ M1 @‘xfilg7LXf9 W/mi‘f’f't” xx; (rim _,, m. at a w ”5 ”a” flvwflw [2 BMWMMmM 57:: who} WWW “(m as ~ Wé’zgw d: Lfié‘fifg Mi mg: a "81 jg (6f WEEK/if swath?” Ma‘qu/Mggfigd mm M We? WM 7. Verify that the Maxwell Boltzmann distribution. 7: ’{fistfiEB F(v)dv= Alitlm/Zrtka/2 vzexp(—mv2/2kT)dvhasits maximum ataspeedvp= (2kT/m)1/2. t am WW em w W :2 a m [email protected]' WM X €4.15” 5 LM ”Ea {MUM film?” $11“??? dfifé” mafia?“ wigg \ “Mag” as .2an g “526%":0 am d g a, smefix wameefi‘wwm“ 2%?“ am " - 3 Zn? film W m :35? W 1:: 2» at M {53% '2» 24%;? w Q/{M M g K? 5:“ g’Wsa j 8. Show that the equation 2 = Alt/A0 = (1 + vr/c}1/2(1 — vr/c)”2 —- 1 becomes 2 = Ail/A0 = vr/c if Vr/C << 1. w} . x f 5 5-,; W, \ ”25% ‘ ' . 453%. Mutt 557+ ' ,g§-~ @515 IN ngdflFMQ? 294% aflsgigfifil / Pflfl M" ‘5; {x— C? J) Z0 a}? ‘31) E: Q” r - m ‘ W%gmfév ~ gm imgfinm— WM» +emw 0% gfiééwgmf . Cf» fimmwb Fifififixd $5M M «Ia-*3 mfim-vi ' .T.‘ {Wei} w xfiwmx $15”? $3 X ‘E 3 if 4r" {3/ W E "f" 3: ti“: MVW {eL/Ufifi’flfi :Aj‘éf/C’ (J+ g _.. 2, C; 24' mfii’a ,3; [ti’zxaifi a 2' a; M w v .mtfzfi C“ %) :3” gt. SIC; 1X”! 5?” w) 3 i ...- Zr fay if gtfégfi’ L ”ES. 4}“? (V4341? Erg'fli” wé’ 2,. 2:5; ‘2, C? WE m\ k M f Jaimé’a/fi feta?!” “fit a; $5 % W a}; 'wa E9 J I?!” 9/”! W + “‘55 A’VWS M/ 53., wreéwid-E’CX ffiw i” 5? he! ...
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