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Transcript
Final Review
1
Final



Format
 50 multiple choice questions
4 numerical
 Speed
 Stellar Lifetime
t = 1010 (M / L)
 Event Horizon
R= 2GM/c2
 Hubble’s Law
v=Hd
46 general knowledge
2
Numerical Questions
Examples
3

Assuming Viking 1 is 90 AU away from Earth, how long
would a radio signal from it take to reach us?

How long would a star of 9 solar masses and 2700 solar
luminosities remain on the main sequence?

What is the radius of a 32 solar mass black hole?

How far away, according to Hubble’s Law, is a galaxy
that is moving away from us at 6000 km / sec?
4
Q1
Distance
= 90 AU
= 90 AU x 1.5 x 108 km/AU
= 9 x 1.5 x 109 km
Time
= Distance / Speed
= 9 x 1.5 x 109 km / 3 x 105 km/s
= 3 x 1.5 x 104 s
= 4.5 x 104 s
Convert to hours or days, if necessary.
Hint: light takes 500 sec to travel 1 AU!
5
Q2
Lifetime
= 1010 (M / L) yr
= 1010 (9 / 2700) yr
= 1010 (1/300) yr
= 103 x 107 / 300 yr
= 3.3 x 107 yr
= 33 million yr
6
Q3
R
= 2 G M / c2
Mass
= 32 solar masses
1 solar mass black hole has a Schwarzschild
radius of 3 km.
Therefore, a 32 solar mass hole has a
Schwarzschild radius of
= 32 x 3km
= 96 km
7
Q4
Hubble’s Law
v=Hd
H = 21 km/s/Mly (70 km/sMpc)
v = 6000 km/s
Therefore,
d=v/H
= 6000 km/s / 21 km/s/Mly
~ 300 Mly
8
General Knowledge
9
I

The Sky
 Constellations
 Ecliptic
 Celestial equator and poles
 Equinoxes and solstices

Forces and Motion
 Galileo’s Observations
 Kepler's Laws
10
II

Earth
 Atmosphere

Mercury, Mars, Venus
 Atmosphere
 Main features

Jupiter, Saturn, Pluto
 General properties
11
III

Light
 Electromagnetic Spectrum
 Wavelength, frequency, speed
 Photons
 Major Telescopes
12
IV

The Sun
 Temperature (surface, core)
 Composition
 Power generation
 Photons and neutrinos
13
V

Stars
 Low to medium mass stars (like the Sun)
 High-mass stars (like Betelgeuse)
White dwarfs
 Red giants
 Variable stars
 Planetary nebulae
 Neutron stars, pulsars, black holes

14
VI

Galaxies
 Classification
 The Milky Way
 Globular clusters
 Dark matter
 Super-massive black holes
15
VII

Cosmology
 Hubble's Law
 Big Bang Theory
 Cosmic Microwave Background

Life
 Search for Extra Terrestrial Life
16