Hi there, Please read the attachment files for assignments. :) For Astronomy paper i need to submit tomorrow (March 9th) 11:59 pm, so if u could give me back 10 pm it would be great. For Argument pape

T he n ext tw o p ro pertie s ( g ath er lig ht, s e e fin e d eta il) a re a ls o v e ry im porta nt. B oth o f th ese p ro pertie s a re d ete rm in ed b y th e a pertu re o f th e te le sco pe. A pertu re is th e d ia m ete r o f th e m ain le ns ( o r m ir ro r) o f th e te le sco pe, w hic h w e c a ll t h e o bje ctiv e le ns ( o r o bje ctiv e m ir ro r). T he a re a o f th e o bje ctiv e le ns ( m ir ro r) d ete rm in es h ow m uch lig ht c a n g et in to th e te le sco pe t h us d ete rm in in g th e lig ht g ath erin g p o w er.

ℎ ℎ = = π ( / 2 ) 2 A pertu re a ls o d ete rm in es h ow w ell a te le sco pe c a n r e so lv e fin e d eta il. R eso lu tio n d epends o n th e d ia m ete r o f th e o bje ctiv e a nd th e w ave le ngth o f lig ht b ein g o bse rv e d. θ = 1 .

2 2 λ / w here i s th e w ave le ngth o f th e lig ht ( fo r v is ib le l ig ht, = 5 00 n m ) a nd D is th e d ia m ete r o f λ t h e o bje ctiv e , in th e s a m e u nit s . 1 T he o bje ctiv e le ns d ete rm in es a p ro perty o f th e te le sco pe k n ow n a s th e f- ra tio ( f\ o r f- ).

A lt e rin g th e f- ra tio ( b y c h angin g e it h er th e d ia m ete r o r fo ca l le ngth o f th e o bje ctiv e le ns) w ill a lt e r p ro pertie s s u ch a s th e b rig htn ess a nd s h arp ness o f th e im age. · = ℎ M akin g th e im age o f th e o bje ct la rg er, o r m agnif ic a tio n, i s th e fo urth ta sk o f a te le sco pe. A lt h ough s till im porta nt a nd n ece ssa ry , m agnif ic a tio n i s le ss im porta nt th an th e o th er p ro pertie s b eca use if a n im age is fa in t a nd b lu rry , m akin g it la rg er is n ot g oin g to im pro ve t h in gs. M agnif ic a tio n is th e jo b o f th e s e co nd le ns ( th e s m alle r o ne) in y o ur k it , w hic h is c a lle d th e e ye pie ce o r e ye le ns, b eca use th is is t h e l e ns y o u lo ok th ro ugh. T he e ye pie ce m agnif ie s th e im age th at is c re ate d b y th e o bje ctiv e l e ns. W e c a n c a lc u la te th e th eore tic a l m agnif ic a tio n o f a te le sco pe b y ta kin g t h e r a tio o f t h e fo ca l le ngth s o f th e o bje ctiv e a nd e ye l e nse s ( i. e . ) .

= ℎ ℎ 2 P art A Y ou w ill u se a s im ula tio n fr o m o P hysic s: In te ra ctiv e P hysic s S im ula tio ns to d ete rm in e s o m e p ro pertie s o f in div id ual le nse s a nd th e im ages th ey f o rm . - S im ula tio n : C onca ve a nd C onve x L ense s a nd fo ca l le ngth s ( h ttp s://o physic s.c o m /l1 2.h tm l ) 1 . M ake s u re th e le ns is c o nve x. T his is th e d efa ult , s o y o u s h ould n’t h ave to a dju st a nyth in g. It’s w orth c h eckin g th ough. T he im ag e a nd o bje ct s h ould b e o n o pposit e s id es o f th e le ns. 2 . T his d ot s lid es b ack a nd fo rth a lo ng th e h oriz o nta l a xis a nd c o ntr o ls th e fo ca l le ngth o f t h e le ns, w hic h y o u c a n s e e lis te d u p ( s e e a rro w ). Y ou w ill n eed to m ove to s e t p osit io ns a lo ng th e x -a xis . 3 . O bje ct D is ta nce ( d o): T his is th e d is ta nce fr o m th e o bje ct to th e c e nte r o f th e le ns. T his c a n b e c o ntr o lle d b y d ra ggin g th e lo ca tio n o f th e t ip o f th e o bje ct a rro w h oriz o nta lly . O bje ct H eig ht ( h o): T his is th e v e rtic a l h e ig ht o f t h e o bje ct. T his c a n b e c o ntr o lle d b y d ra ggin g th e tip o f th e a rro w u p a nd d ow n. 4 . T he v a lu es o f O bje ct d is ta nce , O bje ct h eig ht, a nd m agnif ic a tio n ( M ) a re lis te d h ere . 5 . T he v a lu es o f Im age d is ta nce a nd Im age h eig ht a re l is te d h ere . 3 F ill o ut th e ta ble a nd a nsw er th e c o rre sp o ndin g q uestio ns.

F ocal l e n gth o f l e n s O bje ct H eig ht ( h o) Object Distance (do) h o/d o r a tio I m ag e h eig ht ( h i) Image Distance (di) h i/d i M ag nit ic a tio n 2 2 4 2 2 6 2 2 1 0 2 4 4 2 4 6 2 4 1 0 4 2 6 4 2 1 0 4 4 6 4 4 1 0 Q uestio ns: 1 . a ) W hat p atte rn d o y o u n otic e b etw een th e h o/d o a nd h i/ d i? b ) D oes th e p atte rn d epend o n o bje ct s iz e ? E xp la in .

c ) D oes th is p atte rn d epend o n th e fo ca l le ngth o f t h e le ns? E xp la in . 2 . C onsid er th e c a se w it h th e s a m e o bje ct h e ig ht a nd t h e s a m e o bje ct d is ta nce , w hat h appens to th e im age w hen v ie w ed th ro u gh a le ns w it h a lo nger fo ca l le ngth ? ( ie . w ill th e i m age a ppear b ig ger o r s m alle r? ) 3 . A t w hat d is ta nce fr o m th e le ns d oes th e o bje ct n eed t o b e to h ave a m agnif ic a tio n: a . E xa ctly e qual to 1 ? T a ke a s cre en s h ot o f t h is c o nfig ura tio n a n d in clu de it in y o ur la b . b . D oes th is d epend o n th e fo ca l le ngth o f th e le ns? E xp la in . 4 . A s th e o bje ct is m ove d to la rg er d is ta nce s a w ay fr o m t h e le ns, a . H ow d oes th e im age d is ta nce c o m pare to th e fo ca l le ngth o f th e le ns? b . W hat d o y o u th in k th is m eans fo r th e im ag e d is ta nce f o r c e le stia l o bje cts ? 5 . W hic h p hysic a l c h ara cte ris tic o f th e le ns c o ntr o ls t h e fo ca l le ngth ? 4 P art B : T e le sco pes a t t h e U niv ers it y o f M an it o b a L et’s m ake s o m e th eore tic a l p re dic tio ns a bout w hat o bse rv a tio ns w ould lo ok lik e w it h y o u n ake d e ye a s w ell a s fr o m s o m e o f th e U niv e rs it y o f M an it o ba’s t e le sco pes. T e le sco pe:

N aked e ye C 8 ( C ele str o n 8 ”) E w en T e le sco pe ( M ead e L X 200) A pertu re ( m m) 7 2 03.2 4 06.4 F oca l L ength ( m m) 2 4 2 032 4 064 1 . C alc u la te th e lig ht g ath erin g p ow er o f y o ur e ye , a nd fo r th e o bje ctiv e le ns fo r e ach t e le sco pe. H ow m uch m ore lig ht d oes e ach te le sco pe g ath er th an y o ur e ye ? S how y o ur w ork .

2 . W hat a re th e f- ra tio s o f y o ur n ake d e ye , th e C 8, a nd th e E w en te le sco pe? 4 . C alc u la te th e th eore tic a l a ngula r r e so lu tio n o f a ) Y our d ark a dapte d e ye b ) T he C 8 te le sco pe c ) T he E w en te le sco pe 5 . If y o u u se a n e ye pie ce w it h a 1 0 m m fo ca l le ngth , w hat is th e th eore tic a l m agnif ic a tio n fo r a ) T he C 8 te le sco pe b ) T he E w en te le sco pe 6 . If y o u s w it c h th e e ye pie ce o n e ach o f th e te le sco pes t o a le ns w it h a 5 m m fo ca l le ngth , w hat w ill h appen to th e im age in y o ur e ye pie ce ? E xp la in .

P art C : S im ula te d O bserv atio ns a t t h e U niv ers it y o f M an it o ba W e w ill n ow c o nsid er h ow th ese a ff e ct a str o nom ic a l o bse rv a tio ns a nd w hat lo okin g th ro ugh e ach o f th ese te le sco pes is lik e . I n o rd er to e xp lo re t h e e ff e cts o f f- ra tio a nd o f th e s e co ndary e ye pie ce , w e w ill u se T e le sco piu s, a T e le sco pe S im ula to r.

( h ttp s://te le sco piu s.c o m /te le sco pe-s im ula to r ) . 5 1 . T here a re d if f e re nt O bse rv in g m odes d ep endin g o n th e i n str u m ents a va ila ble a nd w hat t h e g oals o f th e o bse rv in g s e ssio n a re . F or to day, o n th e to p m enu, s e le ct “ E ye pie ce ”. 2 . T his b utto n a llo w s y o u to s p ecif y th e p ro p ertie s o f th e te le sco pe. Y ou c a n in put th e fo ca l l e ngth o f th e te le sco pe, th e a pertu re o f th e o bje ctiv e l e ns, a nd a B arlo w /R educe r. U nfo rtu nate ly , th e a pertu re is n ot u se d in th e s im ula tio n a s it d oes n ot a ff e ct w hat is s h ow n in th e e ye pie ce . T his is b eca use th e s im ula tio n i s u sin g im ages o f th e c e le stia l o bje cts fr o m s u rv e ys ( D SS h ere - o ptic a l w ave le ngth s). T he B arlo w /R educe r is a n a dded l e ns b etw een th e o bje ctiv e a nd e ye pie ce le nse s th at m agnif ie s th e im age. W e w ill tu rn t h is o ff . 3 . T his b utto n a llo w s s tu dents to s p ecif y th e fo ca l le ngth o f th eir e ye pie ce . T he e ye pie ce is o fte n in te rc h angeable o n a te le sco pe a nd is p rim aril y i n vo lv e d in th e m agnif ic a tio n. 4 . T his b utto n a llo w s s tu dents to c h oose a n O bse rv in g T a rg et fr o m a c a ta lo gue. O ptio ns i n clu de th e M essie r O bje cts ( M 1-1 1 0), th e N ew G enera l C ata lo gue ( N G C 1 -7 000), a m ongst o th ers . Y ou a re e nco ura ged to lo ok u p y o ur f a vo urit e a str o nom ic a l o bje ct, fin d i t s n am e a nd c a ta lo gue n um ber a nd o bse rv e it fo r th e n ext fe w q uestio ns. E xtr a : T he S urv e y ta b a llo w s s tu dents to o bse rv e a t d if f e re nt w ave le ngth s. 6 Q uestio ns 1 . C hoose a ta rg et o bje ct. T his s h ould b e a n e xte nded o bje ct ( lik e a g ala xy, s ta rt c lu ste r, o r n ebula e). L is t th e n am e o f th e o bje ct. 2 . O bse rv e th is o bje ct “ w it h y o ur n ake d e ye ” in th e T e le sco piu s s im ula tio n - th is m eans e nte rin g th e fo ca l le ngth o f y o ur e ye a s th e fo ca l l e ngth o f th e te le sco pe. L et th e e ye pie ce fo ca l le ngth b e 1 m m. T a ke a s cre en sh ot a n d in clu de it in t h e la b . 3 . O bse rv e th is o bje ct a gain b ut w it h a C 8 te le sco pe a nd a 1 0 m m e ye pie ce le ns. T a ke a s cre en sh ot a n d in clu de it in t h e la b . 4 . O bse rv e th is o bje ct w it h th e E w en te le sco pe a nd a 1 0 m m e ye pie ce le ns. T a ke a s cre en sh ot. 5 . O bse rv e th e o bje ct w it h th e E va ns te le sc o pe a nd 5 m m le ns. H ow d oes th is c o m pare w it h y o ur a nsw er in Q uestio n 6 o f P art B ? E xp la in . 6 . A re th ere a ny a sp ects o f o bse rv in g th at t h ese s im ula tio ns m ig ht n ot in clu de? E xp la in . 7