11
Feb 16, 2005 Astronomy 210 Spring 2005 Astronomy 210 Section 1– MWF 1500-1550 134 Astronomy Building This Class (Lecture 13): Thermal Radiation Next Class: Hour Exam #1 Music: The Space Race is Over – Billy Bragg Exam #1 on Friday! Thursday Review Session Feb 16, 2005 Astronomy 210 Spring 2005 Midterm #1 1 hour exam in this classroom. It will cover material up to, but not including, Blackbody emission Will consist of a few short-answers, 1-2 short essay, and a few problems + extra credit. You can bring a normal-sized sheet of paper with notes on both sides. Feb 16, 2005 Astronomy 210 Spring 2005 Outline Doppler Effect • Telescopes Feb 16, 2005 Astronomy 210 Spring 2005 Doppler Effect Those of you use to racing events like the Indy 500, or the sound of a police siren, are use to the Doppler effect.

Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

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Page 1: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ast

rono

my

210

Sect

ion

1–M

WF

150

0-15

5013

4 A

stro

nom

y B

uild

ing

Thi

s C

lass

(L

ectu

re 1

3):

The

rmal

Rad

iatio

n

Nex

t Cla

ss:

Hou

r E

xam

#1

Mus

ic: T

he S

pace

Rac

e is

Ove

r –

Bill

y B

ragg

Exa

m #

1 on

Fri

day!

Thu

rsda

y R

evie

w S

essi

on

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Mid

term

#1

•1

hour

exa

m in

this

cla

ssro

om.

•It

will

cov

er m

ater

ial u

p to

, but

not

incl

udin

g,

Bla

ckbo

dy e

mis

sion

•W

ill c

onsi

st o

f a

few

sho

rt-a

nsw

ers,

1-2

sho

rt

essa

y, a

nd a

few

pro

blem

s +

ext

ra c

redi

t.

•Y

ou c

an b

ring

a n

orm

al-s

ized

she

et o

f pa

per

with

no

tes

on b

oth

side

s.

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Out

line

•D

oppl

er E

ffec

t

•T

eles

cope

s

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Dop

pler

Eff

ect

Tho

se o

f yo

u us

e to

rac

ing

even

ts li

ke th

e In

dy 5

00, o

r th

e so

und

of a

pol

ice

sire

n, a

re u

se to

the

Dop

pler

eff

ect.

Page 2: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Dop

pler

Shi

ft

•T

he a

mou

nt o

f sh

ift i

n w

avel

engt

h de

pend

s on

the

rela

tive

velo

city

of

the

sour

ce a

nd th

e ob

serv

er

•B

y m

easu

ring

the

Dop

pler

shi

ft o

f th

e lig

ht w

e ob

serv

e, w

e ca

n st

udy

the

mot

ions

of

the

plan

ets

and

star

s•

The

Dop

pler

eff

ect i

s al

so u

sed

by m

oder

n st

orm

-tr

acki

ng r

adar

×=

−c

v sour

ceso

urce

sour

ceob

λλ

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

The

Dop

pler

Eff

ect

Sour

ce s

tand

ing

still

Sour

ce m

ovin

g to

rig

ht

The

eff

ect a

rise

s fr

om th

e re

lativ

e m

otio

n of

the

obse

rver

and

the

sour

ce o

f lig

ht, s

ound

, etc

. T

he w

aves

get

squ

ashe

d in

the

dire

ctio

n of

mot

ion

and

stre

tche

d in

the

oppo

site

dir

ectio

n.

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

We

need

tele

scop

es to

obs

erve

St

arlig

ht

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

58

Tel

esco

pes

& A

stro

nom

y

•T

he s

ingl

e m

ost i

mpo

rtan

t too

l to

astr

onom

ers

is th

e te

lesc

ope

–T

hey

colle

ct m

ore

light

than

the

eye

–A

llow

us

to s

ee h

eave

nly

obje

cts

mor

e cl

earl

y an

d to

gre

ater

dis

tanc

es

•A

stro

nom

ers

have

bee

n us

ing

tele

scop

es f

or

abou

t 400

yea

rs to

ex

plor

e th

e U

nive

rse

Page 3: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

The

Ele

ctro

mag

netic

Spe

ctru

m

•E

lect

rom

agne

tic

wav

es c

an h

ave

wav

elen

gths

outs

ide

of

visi

ble

rang

e

•A

stro

nom

ical

obj

ects

us

ually

em

it lig

ht a

t m

any

wav

elen

gths

•N

eed

tele

scop

es w

hich

w

ork

at a

ll w

avel

engt

hs

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

510

Fun

ctio

ns o

f a

Tel

esco

pe•

Tel

esco

pe f

unct

ions

–C

olle

ct li

ght o

ver

a la

rge

area

–R

esol

ve im

age

onto

an

eyep

iece

or

a sc

ient

ific

inst

rum

ent

•E

xtra

ct m

axim

um p

ossi

ble

info

rmat

ion

–Fo

rm im

age

or ta

ke s

pect

rum

•C

an d

o th

is w

ith e

ither

lens

es

(ref

ract

ing)

or

mir

rors

(re

flec

ting)

•T

hree

pri

oriti

es (

in o

rder

)–

Gat

heri

ng li

ght

–A

ngul

ar r

esol

utio

n

–M

agni

fica

tion

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Lig

ht G

athe

ring

•T

op p

rior

ity s

ince

mos

t ce

lest

ial o

bjec

ts a

re d

im

•T

eles

cope

= “

light

buc

ket”

•K

ey: c

olle

ctin

g ar

ea

•H

uman

eye

–~5

mm

,

•Su

baru

tele

scop

e m

irro

r –

8.3

m

–3

mill

ion

times

the

area

of

your

eye

!

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Tel

esco

pes

•A

tel

esco

peco

llect

s lig

ht•

The

larg

er th

e ap

ertu

re, t

he m

ore

light

can

be

colle

cted

in a

gi

ven

amou

nt o

f tim

e

Ape

rtur

e

Page 4: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ang

ular

Res

olut

ion

•R

evea

l det

ails

of

obje

cts

•A

ngul

ar r

esol

utio

n:–

Mea

sure

s fi

nest

det

ail t

hat i

s no

t sm

eare

d ou

t

–S

mal

lest

ang

le f

or w

hich

two

star

s ar

en’t

sm

eare

d to

geth

er to

on

e •e.

g., h

uman

eye

res

olut

ion

= 1/

60th

of a

deg

ree

•H

ubbl

e Sp

ace

Tel

esco

pe

reso

lutio

n <

1/3

6,00

0thof

a d

egre

e

Low

res

olu

tion

imag

e

Hig

h re

solu

tion

imag

e

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Res

olve

Thi

s

•W

hat i

s th

e lim

itatio

n on

how

wel

l a

tele

scop

e ca

n re

solv

e ob

ject

s?–

The

siz

e of

the

tele

scop

e, s

illy

–T

he d

iffr

actio

n of

a te

lesc

ope

is θ

diff=

1.22

λ/D

•W

e w

ant t

he a

ngle

to b

e sm

all a

s po

ssib

le

•So

, aga

in w

e w

ant a

larg

e te

lesc

ope!

•T

he K

eck

10 m

eter

has

a θ

diff=

0.0

5 ar

csec

–B

ut, t

here

is a

noth

er li

mita

tion!

•T

he a

tmos

pher

e

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Tw

inkl

e, T

win

kle

Litt

le S

tar

•T

urbu

lenc

e in

the

atm

osph

ere

“jig

gles

” im

age

•W

e se

e it

as

sta

rs

“tw

inkl

ing”

•A

stro

nom

ers

use

the

term

se

eing

to d

escr

ibe

the

stea

dine

ss o

f th

e sk

y•

A g

ood

atm

osph

ere

will

al

low

θ∼

1ar

csec

.•

So f

or m

oder

n te

lesc

opes

, w

e ar

e lim

ited

by th

e at

mos

pher

e.ht

tp:/

/ant

wrp

.gsf

c.na

sa.g

ov/a

pod/

ap00

0725

.htm

l

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

•M

akes

the

obje

ct a

ppea

r la

rger

•U

sefu

l for

stu

dyin

g de

tail

•L

east

impo

rtan

t iss

ue–

If y

ou d

on’t

hav

e th

e ot

her

two,

this

is n

ot a

t all

rele

vant

–N

o go

od to

mag

nify

a

blur

ry im

age

•M

agni

fica

tion

is

f o

bs/f

eye∝

D

Mag

nifi

catio

n

Page 5: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

In T

he E

nd S

ize

Doe

s M

atte

rs

•B

oth

light

col

lect

ing

and

reso

lutio

n im

prov

e as

the

diam

eter

of

the

scop

e –

its le

ns o

r m

irro

r –

incr

ease

s

•B

igge

r is

bet

ter!

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Big

ger

Is B

ette

r!

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Foc

usin

g

For

dist

ant o

bjec

ts: l

ight

ray

s ar

rive

in p

aral

lel

Tel

esco

pe jo

b:co

llect

ray

s ov

er la

rge

area

focu

s to

a p

oint

then

re-

stra

ight

en o

ver

smal

ler

area

: bri

ghte

r

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Tel

esco

pe T

ypes

•Opt

ical

(vi

sibl

e lig

ht)

•R

efra

ctin

g

•R

efle

ctin

g

•Rad

io, i

nfra

red,

ultr

avio

let

•R

efle

ctin

g

•X-r

ay

•R

efle

ctin

g (g

razi

ng in

cide

nce)

Page 6: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ref

ract

ion

•L

ight

trav

els

mor

e sl

owly

in tr

ansp

aren

t mat

eria

ls th

an it

doe

s in

vac

uum

•W

hen

pass

ing

from

one

med

ium

to a

noth

er (

e.g.

air

to w

ater

),

light

is b

ent (

refr

acte

d)

air

wat

er

I

R

R<

Iif

spee

d of

ligh

t in

low

er m

ediu

m is

sm

alle

r th

an in

upp

er

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ref

ract

ion

by

pla

tes

vs. b

y le

nse

s

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Fo

cusi

ng

by

len

ses

Lens

axi

s

Foc

al p

oint

Foc

al p

lane

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

A r

efra

ctin

g te

lesc

ope

uses

at

leas

t tw

o le

nses

Page 7: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ref

ract

ing

Tel

esco

pes:

Len

ses

•U

se L

ense

s–

Cur

ved

glas

s

–L

ight

ben

t to

focu

s

•Pr

oble

ms:

Len

ses

focu

s co

lors

diff

eren

tly

–Sa

g •L

arge

lens

dis

tort

ed a

s it

hang

s

•L

imits

lens

siz

e

–L

imite

d w

avel

engt

hs

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

The

Lar

gest

Ref

ract

or

•A

t Yer

kes

Obs

erva

tory

nea

r C

hica

go

•40

inch

dia

met

er le

ns, 6

3½ f

eet l

ong!

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Tel

esco

pe

mo

un

ts

Alti

tude

-azi

mut

h (a

lt-az

imut

h)E

quat

oria

l

Mor

ehea

d P

lane

tariu

mF

eb 1

6, 2

005

Ast

rono

my

210

Spri

ng 2

005

Ref

lect

ion

Sm

oo

th s

urf

ace

Ang

le o

f inc

iden

ce I

= A

ngle

of r

efle

ctio

n R

Ro

ug

h s

urf

ace

IR

Page 8: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Foc

usin

g by

mir

rors

Mirr

or a

xis

Foc

al p

oint

Foc

al p

lane

Sp

her

ical

ab

erra

tio

nO

ccur

s w

hen

sect

ion

of a

sph

ere

is u

sed

inst

ead

of a

par

abol

oid

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ref

lect

ing

Tel

esco

pes

•U

se M

irro

rs–

Sag

not a

pro

blem

–su

ppor

t the

m

irro

r fr

om b

elow

–Pa

rabo

lic

mir

ror

give

s go

od f

ocus

•T

oday

, all

larg

e pr

ofes

sion

al

tele

scop

es a

re r

efle

ctor

s

Hu

bb

le T

eles

cop

e M

irro

r (2

.4 m

)

Kec

k T

eles

cop

e M

irro

r(1

0m)

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ref

lect

ing

tel

esco

pe

des

ign

s

New

toni

an

Cas

segr

ain

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

The

Lar

gest

Ref

lect

or

•K

eck

Obs

erva

tory

on

Mau

na K

ea in

Haw

ai’i

•T

win

10-

met

er r

efle

ctin

g te

lesc

opes

•C

ompl

eted

199

3 &

199

6

Page 9: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Gem

ini T

eles

cope

s

•T

win

tele

scop

es•

One

in H

awai

i, on

e in

Chi

le•

8-m

eter

mir

rors

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Kitt

Pea

k, A

rizo

na

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Cer

ro-T

elol

oIn

tera

mer

ican

Obs

erva

tory

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Ast

rono

my

as a

Hob

by

•D

id y

ou k

now

you

can

see

a g

alax

y 2½

m

illio

n lig

ht-

year

s aw

ay

with

you

r un

aide

d ey

es?

•O

r th

at y

ou

can

see

crat

ers

on

the

Moo

n w

ith

bino

cula

rs?

Page 10: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

You

r F

irst

Ste

ps…

•R

ead

–T

he n

ight

sky

is b

eaut

iful

to

beho

ld, b

ut a

stro

nom

y is

a

lear

ning

hobb

y–

You

can

fin

d go

od g

uide

s to

th

e ni

ght s

ky a

t you

r lo

cal

libr

ary

or b

ooks

tore

–G

et a

cop

y of

Sky

& T

eles

cope

from

the

libra

ry•

Off

ers

a bi

g ev

enin

g-sk

y m

ap f

or b

egin

ners

•Pr

actic

al o

bser

ving

tips

Feb

16,

200

5A

stro

nom

y 21

0 Sp

ring

200

5

Lea

rn T

he S

ky

•L

earn

the

sky

wit

h th

e na

ked

eye

–D

ownl

oad

star

cha

rts

from

Sky

& T

eles

cope

–B

uy a

pla

nisp

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Nig

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soft

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cam

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Feb

16,

200

5A

stro

nom

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0 Sp

ring

200

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Star

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Bin

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the

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Feb

16,

200

5A

stro

nom

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0 Sp

ring

200

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Seek

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Page 11: Midterm #1 Doppler Effect - University Of Illinoislwl/classes/astro210/... · 2010-02-11 · sound of a police siren, are u se to the Doppler effect. ... Astronomy as a Hobby •

Feb

16,

200

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stro

nom

y 21

0 Sp

ring

200

5

You

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Tel

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mos

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Feb

16,

200

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stro

nom

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ring

200

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!

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wha

teve

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ocul

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or

tele

scop

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ow y

ou•

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mor

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will

see

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hom

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nigh

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t you

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beau

ty a

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f ou

r am

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Feb

16,

200

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stro

nom

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ring

200

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Feb

16,

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Tw

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