PHYSICS 1060       Dr Mike Fanelli

Spring   2005

EXAM 2     REVIEW SHEET


This review covers these topics:
Atoms & Molecules, Spectra of Celestial Objects, Telescopes, Light Detectors, Space Astronomy, Experimental Astronomy, The Sun, Solar Activity & Solar Power, Distances and Motions of Stars, Properties of Stars, The HR Diagram

Use these pages as a study guide - in other words, as a list of terms, facts, concepts, and relationships that you will want to understand for the exams. This review is NOT intended as a synopis of the class notes or textbook. Rather, it mixes some factual information with lists of items that students should review. Sample questions, some given with answers, some without, are included. These are indicated with a preceding "Q?" symbol.
I have attempted to include just about every topic and concept that might show up in an exam questions, but this review sheet is not guaranteed to be comprehensive - exams cover the text and notes !
 


A.     DEFINITIONS & FACTS

Spectra:

Atoms and Atomic Structure:
Understand the internal structure of atoms. Each chemical element is defined by the number of protons in the nucleus of an atom of that element. Molecules & Beyond
Contrast atoms with molecules. Information from Spectra:
Review the types of information that can be gleaned from spectra of astronomical objects, the physical principles involved, and how that information is extracted from the spectra. Telescopes: Light Detectors: Experimental Astronomy Structure of the Sun (& Stars): Solar Activity: Solar Power: Distances and Motions of Stars: Properties of Stars: Herzsprung - Russell Diagrams:


B.     CONCEPTS

Atomic Structure:
Be cognizant of the basic structure of an atom-- nucleus, electron "cloud", energy levels. Be able to sketch and label the standard picture of an atom. Review the basic process of how EM radiation interacts with atoms, how photons (particles of light) can be absorbed or emitted.

Molecules & The States of Matter
Understand the heirarchy of matter from atoms to molecules to solids, liquids and gases. Information from Spectra:
Telescopes & Detectors: Experimental Astronomy Structure of the Sun: Solar Activity: Solar Power Distances and Motions of Stars: Properties of Stars: Herzsprung - Russell Diagrams:


C.     QUANTITATIVE RELATIONSHIPS

This section reviews specific quantitative (meaning mathematical) relations, and how to interpret those relationships.

Some formulae:
(1) Small Angle formula:   true size = distance x angular size     (2) Wave equation: wavelength × frequency = wave speed    

Angular size:   Understand the meaning of angular size and the system of units used to express these quantities.

Angular Size and True Size:   Know that the true or physical size of an object (Moon, Sun, building, tree, etc) is directly proportional to its angular size and the distance to the object.

  true size   ~   distance × (angular size in degrees / 57.3).

This relation is known as the small angle formula, and allows the direct calculation of the size of an object if the distance is known, or conversely, one can determine the distance to an object if its true size is known. The small angle formula implies that the further away that an object is located, the smaller its angular size will be. If distance increases, then the angular size must decrease.

Properties of Waves:

Speed of light (or any radiation): is designatd "c"   =   wavelength x frequency of that light.
Note that the wavelength and frequency can vary but their product must equal 300,000 km/sec, when multiplied together.

Radiation:
(1) wavelength × frequency = speed of the wave   -   the "wave" equation
(2) wavelength of peak emission is ~ 1 / temperature   -   Wien's Law
(3) E(total) ~ T4   -   Stefan's Law
(4) (shift in wavelength) ÷ wavelength   =   velocity ÷ speed of light   -   Doppler effect
(5) Energy of a photon, E, equals Planck's constant times frequency.
E   =   h   x   n
 

Properties of Telescopes:

(1)   Light Gathering Power (LGP) of a telescope is proportional to the area of the mirror.
        LGP ~ D2, where D is the diameter of the mirror.
(2)   Resolving power of a telescope is proportional to the diameter of the mirror and the
        wavelength of light being imaged.

The resolution (expressed in arcseconds) = 0.25 × wavelength (in microns) ÷ diameter (in meters).

Parallax & Distance
The distance to a star     =     1 ÷ its parallax,
with distance expressed in parsecs, and parallax expressed in arcseconds.

Radius - Luminosity - Temperature relation.
These fundamental properties of a star are interrelated -

L   =   R2   ×   T4,     expressed in solar units.

The Magnitude Scale

The difference between the observed (apparent) magitude of a star and its true (absolute) magnitude depends on its distance:
(m - M)   =   5 × LOG ( distance ÷ 10 pc)