Stars Flashcards
(221 cards)
To first order, what does the output spectrum of a star appear to be?
A blackbody radiator
What equation predicts the shape of an ideal blackbody spectrum?
Planck’s radiation law, where B is the specific intensity or spectral radiance of the light
What are the units of B in Planck’s radiation law?
Does a hotter blackbody emit a greater proportion of its radiation at shorter or longer wavelengths than a cooler blackbody?
Shorter wavelengths
Does a hotter blackbody emit more or less radiation at all frequencies than a cooler body?
It emits more radiation
What is Wien’s Displacement Law and what does it describe?
It describes the peak wavelength in a blackbody curve
What is the Stefan-Boltzmann Law?
Integrating Planck’s Radiation Law over all wavelengths and all solid angles, total power radiated from unit cross sectional area of an ideal blackbody at Temperature T:
What is the Stefan-Boltzmann Law in terms of energy density?
What is the Stefan-Boltzmann Law in terms of absolute luminosity and what are its assumptions?
Assumptions:
-Spherical, radius R
-Surface of uniform temperature T
What is seen to be emitted by a blackbody?
Continuous spectrum - blackbody emits light at all wavelengths
What is seen to be emitted from a cooler gas cloud after light from a blackbody has passed through it?
Emission line spectrum - electrons in excited atoms drop down to lower energy levels, emitting photons at the same wavelength as the light from the blackbody. They are often superimposed onto a continuum spectrum
What is seen when light from a blackbody has passed through a cloud of cooler gas?
Absorption line spectrum - atoms in a gas cloud absorb photons with the correct amount of energy to excite atoms to higher energy levels, leaving dark lines in spectrum at specific wavelengths
Where is the hydrogen alpha line seen?
When an electron transitions from the n = 3 state to the n = 2 state in hydrogen, corresponding to 656.3nm
Where is the hydrogen beta line seen?
When an electron transitions from the n = 4 state to the n = 2 state in hydrogen, corresponding to 486.1nm
Where is the hydrogen gamma line seen?
When an electron transitions from the n = 5 state to the n = 2 state in hydrogen, corresponding to 434nm
What is the absolute luminosity of an object?
The total radiated power, in W
At distance D, what is apparent luminosity?
Supposing we know or can estimate absolute luminosity L and measure apparent luminosity l of an object, what can we estimate?
Distance D to the object
What is apparent luminosity often defined in terms of?
Apparent magnitude m
What are the details of the apparent magnitude system?
-It is a logarithmic scale
-Based upon ancient classification
-Brightest naked-eye stars called
first magnitude
-Faintest naked-eye stars called sixth
magnitude
-Means a brighter star has a smaller (more negative) magnitude
If the apparent luminosities of two objects differ by a factor of x100, then the difference in apparent magnitude is what? How is this expressed mathematically?
5
What does m-bol mean?
M-bol is a magnitude of 0, corresponding to an apparent luminosity of 2.54 x 10^-8 W.m^-2
What is the apparent magnitude of the Sun?
-26.8
What is the apparent magnitude of Sirius (brightest star)?
-1.4