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Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine [email protected] www.xanga.com/astronomy100

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Page 1: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ast

rono

my

100

Tue

sday

, Thu

rsda

y 2:

30 -

3:45

pm

Tom

Bur

bine

tbur

bine

@m

thol

yoke

.edu

ww

w.x

anga

.com

/ast

rono

my1

00

Page 2: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Scor

es

•Th

e hi

ghes

t sco

re in

the

clas

s cur

rent

ly is

a 9

7%•

The

low

est s

core

in th

e cl

ass c

urre

ntly

is a

33%

•(A

ssum

ing

thei

r tes

t gra

des r

emai

n th

e sa

me

for

the

rest

of t

he c

lass

and

act

ually

cal

cula

ting

thei

r H

W a

nd P

RS

scor

es)

Page 3: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Cla

ss A

vera

ge•

The

exam

ave

rage

for t

he c

lass

is 7

2.2%

.•

If I

assu

me

ever

ybod

y ge

ts 1

00%

for H

W a

nd

PRS

scor

es a

nd th

at th

is e

xam

ave

rage

doe

s not

ch

ange

for t

he re

mai

ning

test

s:•

Cla

ss a

vera

ge =

80%

x 7

2.2%

+ 2

0% x

100

%•

Cla

ss a

vera

ge =

77.

8%•

Afte

r all

the

exam

s, th

is c

lass

ave

rage

shou

ld ri

se

to a

bove

80%

Page 4: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Sche

dule

•To

day

(Qua

sars

, Dar

k M

atte

r)•

Thur

sday

(end

and

beg

inni

ng o

f the

uni

vers

e)•

May

3 (D

oes L

ife E

xist

Els

ewhe

re in

the

Uni

vers

e)•

May

5 (R

evie

w)

•M

ay 1

0 (E

xam

4)

•M

ay 1

2 (E

xam

5) (

optio

nal)

•M

ay 2

0 (F

inal

)(op

tiona

l)

Page 5: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Exam

4

•K

now

the

clas

s not

es•

Kno

w a

ll th

e de

finiti

ons o

n th

e w

ebsi

te•

Kno

w th

e Su

mm

ary

of K

ey C

once

pts a

t the

end

of

eve

ry c

hapt

er

Page 6: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Exam

5 a

nd F

inal

•K

now

the

clas

s not

es•

Kno

w h

ow to

do

ever

y qu

estio

n on

the

1st4

exam

s•

Kno

w th

e Su

mm

ary

of K

ey C

once

pts a

t the

end

of

eve

ry c

hapt

er

Page 7: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

OW

L as

sign

men

t (D

ue T

hurs

day)

•Th

ere

is b

e an

OW

Las

sign

men

t due

on

Thur

sday

A

pril

28

at 1

1:59

pm

.•

Ther

e ar

e 15

que

stio

ns a

nd a

per

fect

scor

e w

ill

give

you

2 h

omew

ork

poin

ts.

Page 8: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Hom

ewor

k A

ssig

nmen

t(D

ue b

y M

ay 3

)•

Mak

e up

a te

st q

uest

ion

for n

ext t

est

•M

ultip

le C

hoic

e•

A-E

pos

sibl

e an

swer

s•

1 po

int f

or h

andi

ng it

in•

1 po

int f

or m

e us

ing

it on

test

•Th

e qu

estio

n ne

eds t

o be

on

mat

eria

l tha

t will

be

on th

e 4t

h ex

am

Page 9: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Hom

ewor

k A

ssig

nmen

t(D

ue b

y M

ay 5

)

•I h

ave

plac

ed 4

0 te

rms o

n th

e w

ebsi

te•

You

get

0.1

of a

HW

poi

nt fo

r eac

h of

thes

e yo

u de

fine

and

hand

in to

me

•D

efin

ition

s nee

d to

be

hand

-writ

ten

or h

and-

type

d•

A lo

t of t

hese

def

initi

ons w

ill b

e on

nex

t tes

t

Page 10: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

•D

rake

Equ

atio

n•

Dar

k En

ergy

•Tu

lly-F

ishe

r Rel

atio

n•

ALH

8400

1•

Cep

heid

Var

iabl

e•

Whi

te D

war

f•

Joce

lyn

Bel

l•

Vik

ing

Mis

sion

•H

ubbl

e’s L

aw•

SETI

•B

ig B

ang

•C

OB

E•

Stan

dard

Can

dle

•Q

uasa

r•

Plan

ck T

ime

•In

flatio

n in

the

Early

Uni

vers

e•

Olb

er’s

Para

dox

•C

osm

ic M

icro

wav

e B

ackg

roun

d•

Isot

ope

•B

aryo

n

•Pe

rciv

al L

owel

l•

Red

shift

•D

ark

Mat

ter

•M

AC

HO

•C

ritic

al D

ensi

ty•

Rad

io G

alax

y•

Mai

n Se

quen

ce F

ittin

g•

Cos

mol

ogic

al H

oriz

on•

Whi

te D

war

f Sup

erno

va•

Inte

rste

llar M

ediu

m•

Supe

rclu

ster

•W

IMPS

•Pu

lsar

•H

abita

ble

Zone

•M

aund

er M

inim

um•

Con

vect

ion

Zone

•R

adia

tion

Zone

•H

ubbl

e’s C

onst

ant

•St

arbu

rst G

alax

y•

Euro

pa

Page 11: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ast

rono

my

Hel

p D

esk

•Th

ere

is a

n A

stro

nom

y H

elp

Des

k in

Has

brou

ck

205.

It is

ope

n M

onda

y th

roug

h Th

ursd

ay fr

om 7

-9

pm.

Page 12: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Hub

ble’

s Con

stan

t

•v

= d

x H

o

•d

= v/

Ho

•d

= di

stan

ce th

e ga

laxy

is fr

om y

ou•

v =

velo

city

the

gala

xy is

mov

ing

away

from

us

Page 13: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Exam

ple

•A

gal

axy

is m

ovin

g aw

ay fr

om u

s at a

spee

d of

6,

000

km/s

•H

ow fa

r is i

t aw

ay fr

om u

s?•

Ho =

71 k

m/s

/meg

apar

sec

•d

= v/

Ho

•d

= (6

,000

km

/s)/(

71 k

m/s

/meg

apar

sec)

•D

= 8

4.5

meg

apar

secs

Page 14: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Act

ive

Gal

actic

Nuc

lei

•A

ctiv

e G

alac

tic N

ucle

i are

the

unus

ually

brig

ht

cent

ers f

ound

in so

me

gala

xies

Page 15: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

M87

Ellip

tical

Gal

axy

Page 16: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Qua

sars

•Q

uasa

rs a

re th

e br

ight

est a

ctiv

e ga

lact

ic n

ucle

i•

Emit

imm

ense

am

ount

s of r

adia

tion

•So

me

are

brig

hter

than

1,0

00 M

ilky

Way

s

Page 17: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Qua

sars

•Lo

ok li

ke st

ars

•B

ut h

ave

huge

reds

hifts

Page 18: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 19: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 20: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Rad

io G

alax

ies

•A

gal

axy

that

em

its u

nusu

ally

larg

e qu

antit

ies o

f ra

dio

wav

es

•Th

ough

t to

cont

ain

an a

ctiv

e ga

lact

ic n

ucle

i

Page 21: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Pow

er

•A

ctiv

e G

alac

tic N

ucle

i, Q

uasa

rs, a

nd R

adio

G

alax

ies a

re th

ough

t to

be p

ower

ed b

y su

perm

assi

vebl

ack

hole

s•

They

can

exc

eed

1 bi

llion

sola

r mas

ses

Page 22: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ener

gy

•En

ergy

from

the

blac

k ho

les c

omes

from

its

grav

ity•

Gra

vity

con

verts

pot

entia

l int

o ki

netic

•C

ollis

ions

con

vert

kine

tic in

to th

erm

al e

nerg

y•

Phot

ons c

arry

this

ther

mal

ene

rgy

away

Page 23: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ver

y Ef

ficie

nt

•E=

mc2

•10

-40%

of t

he e

nerg

y of

the

accr

etin

g m

ater

ial i

s re

leas

ed a

s rad

iatio

n be

fore

the

mat

ter c

ross

es th

e ev

ent h

oriz

on•

Mor

e ef

ficie

nt th

an fu

sion

, whi

ch tu

rns l

ess t

han

1% o

f the

mas

s of t

he m

ater

ial i

nto

ener

gy

Page 24: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Dar

k M

atte

r

•M

atte

r we

infe

r to

exis

t fro

m it

s gra

vita

tiona

l af

fect

s but

from

wha

t we

dete

ct n

o lig

ht•

Dar

k m

atte

r dom

inat

es th

e m

ass o

f the

Uni

vers

e

Page 25: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Rot

atio

n cu

rve

Plot

show

ing

orbi

tal v

eloc

ities

Of g

as a

nd st

ars

Page 26: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Milk

y W

ay G

alax

y

•Th

e m

ass o

f dar

k m

atte

r may

be

10 ti

mes

the

mas

s of v

isib

le m

atte

r•

Vis

ible

mat

ter i

s sta

rs

Page 27: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Spira

l Gal

axie

s

Page 28: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 29: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Why

is D

ark

Mat

ter I

mpo

rtant

?

•Th

e U

nive

rse

is b

elie

ved

to p

roce

ed a

long

two

path

s•

It m

ay c

ontin

ue to

exp

and

fore

ver

•O

r it m

ay st

op e

xpan

ding

and

col

laps

e•

Its fa

te is

dep

ende

nt o

n th

e de

nsity

of m

atte

r

Page 30: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 31: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 32: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 33: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ellip

tical

Gal

axie

s

•Th

e or

bits

of s

tars

in e

llipt

ical

gal

axie

s are

di

sorg

aniz

ed

Page 34: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 35: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ellip

tical

Gal

axie

s

•Si

nce

som

e st

ars a

re m

ovin

g to

war

ds u

s and

som

e ar

e m

ovin

g aw

ay fr

om u

s•

Spec

tral l

ines

are

bro

aden

ed

Page 36: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 37: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Ellip

tical

Gal

axie

s

•V

eloc

ities

of s

tars

stay

rela

tivel

y co

nsta

nt a

s you

m

ove

from

gal

actic

cen

ter

•El

liptic

alsc

onta

in d

ark

mat

ter

Page 38: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

How

ever

•W

e ca

n’t d

eter

min

e th

e am

ount

of d

ark

mat

ter i

n an

elli

ptic

al g

alax

y•

Bec

ause

we

can’

t mea

sure

thei

r mas

ses a

s far

fr

om th

eir c

ente

rs

Page 39: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Mas

s-to

-Lig

ht R

atio

•Y

ou c

an c

ompa

re th

e m

easu

red

mas

s to

the

lum

inos

ity o

f a g

alax

y

Page 40: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Milk

y W

ay

•M

ilky

Way

con

tain

s 90

billi

on so

lar m

asse

s of

mat

eria

l with

in th

e Su

n’s o

rbit

•Lu

min

osity

of M

ilky

Way

at t

his o

rbit

is 1

5 bi

llion

sola

r lum

inos

ities

•M

ass-

to-L

ight

ratio

of o

ur G

alax

y at

this

orb

it is

6

sola

r mas

ses p

er so

lar l

umin

ositi

es

Page 41: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

This

tells

us t

hat …

•Th

e va

lue

of 6

sola

r mas

ses p

er so

lar l

umin

osity

te

lls u

s tha

t mos

t of t

he m

atte

r is d

imm

er th

an th

e Su

n ou

t to

the

Sun’

s orb

it•

Mas

s-to

-Lig

ht ra

tio o

f our

Sun

is 1

sola

r mas

s per

so

lar l

umin

osity

•So

mos

t mat

ter i

s dim

mer

than

the

Sun

Page 42: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

For s

ome

..

•Fo

r som

e ga

laxi

es, t

hey

have

mas

s-to

-ligh

t rat

ios

of 5

0 so

lar m

asse

s to

sola

r lum

inos

ity•

This

is to

o hi

gh to

be

acco

unte

d fo

r by

star

s alo

ne

Page 43: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume
Page 44: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Fritz

Zw

icky

(189

8-19

74)

•W

as a

mon

g th

e fir

st to

sugg

est t

hat t

here

is a

re

latio

nshi

p be

twee

n su

pern

ovae

and

neu

tron

star

s•

Sugg

este

d in

the

1930

s tha

t dar

k m

atte

r was

fo

und

in G

alac

tic C

lust

ers

Page 45: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Clu

ster

•C

lust

er is

a c

olle

ctio

n of

gal

axie

s (th

at c

an

num

ber d

ozen

s to

thou

sand

s) th

at a

re

grav

itatio

nally

bou

nd

Page 46: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Zwic

ky

•B

y ca

lcul

atin

g th

e sp

eed

of g

alax

ies a

s the

rota

te

arou

nd in

a c

lust

er•

He

foun

d th

at g

alax

ies i

n th

e cl

uste

rs h

ad h

uge

mas

s-to

-ligh

t rat

ios

Page 47: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Type

s of D

ark

Mat

ter

•M

AC

HO

s•

WIM

PS

Page 48: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

MA

CH

Os

•M

assi

ve C

ompa

ct H

alo

Obj

ects

•In

clud

es–

Bro

wn

Dw

arfs

–fa

iled

star

s –

Fain

t red

star

s–

Jupi

ter-

size

d ob

ject

s

Page 49: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

WIM

Ps

•W

eakl

y in

tera

ctin

g m

assi

ve p

artic

les

–N

o el

ectri

cal c

harg

e–

Do

not e

mit

elec

trom

agne

tic ra

diat

ion

–H

ave

mas

s so

do in

tera

ct so

me

with

mat

ter

Page 50: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Neu

trino

s

•D

ark

mat

ter i

n ga

laxi

es c

an’t

be n

eutri

nos b

ecau

se

neut

rinos

esc

ape

from

gal

axie

s with

eno

rmou

s sp

eeds

Page 51: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

WIM

PS

•H

ave

to h

ave

mas

ses l

arge

r tha

n ne

utrin

os•

Hav

e no

t bee

n di

scov

ered

yet

Page 52: Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine ...web.mit.edu/thb/www/astronomy100.19.pdf · Class Average • The exam average for the class is 72.2%. • If I assume

Que

stio

ns