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Dependent Variable
The variable that is measured or observed in an experiment; it changes in response to the independent variable.
Independent Variable
The variable that is purposely changed or manipulated in an experiment to test its effect on the dependent variable.
Linearity
The extent to which a graph or relationship between variables forms a straight line, showing a consistent rate of change.
Sensitivity
The ability of an instrument or experiment to detect small changes or differences in the measured variable.
Uncertainty
A measure of how much a measured or calculated value might differ from the true value; shows the possible error in a measurement.
Zero Error
A type of systematic error that happens when an instrument shows a reading even though the true value is zero.
focal length
distance between the centre of lens and the principle focus
astronomical refracting telescope
uses objective and eyepiece lens (converging lens) where objective has large focal length and eyepiece has short focal length and the final image is virtual, inverted and magnified
Cassegrain telescopes
uses mirrors instead of lenses where concave primary mirror collects light and convex secondary mirror reflects light back and passes through a hole in primary mirror, telescope is short than its effective focal length
chromatic aberration
different wavelengths of light are refracted by different amounts in a lens, causing them to focus at different points produces a blurred image with coloured edges.
spherical aberration
rays of light passing through different parts of a spherical lens or mirror focus at different points, causing the image to appear blurred
solution for chromatic aberration
use achromatic doublet or mirrors to reflect wavelengths equally
solution for spherical aberration
use aperture stop/parabolic mirror blocks out outer rays or reflects parallel rays to same focus
increasing size of objective lens/mirror
increases diameter of objective because it is proportional
Rayleigh criterion
two point sources are just resolvable when the central maximum of one diffraction pattern coincides with the first minimum of the other theat similar to wavelength/diameter
structure, positioning and use of single dish radio telescope
large parabolic dish focuses radiation onto receiver can be ground-based but must in isolated location and can observe galaxies, stars and black holes
structure positioning and use of infrared telescope
large concave mirror focusing light onto detector must be cooled with cryogenic fluid to avoid interference and must be in space as infrared can be blocked by atmosphere and can observe cooler regions in space
structure positioning and use of ultraviolet telescope
Cassegrain config that focuses radiation onto solid state devices and must be in space as ultraviolet can be blocked by ozone layer and can observed interstellar medium and star formation regions
structure, positioning and use of x-ray telescope
combination of hyperbolic and parabolic mirrors to focus radiation onto CCD and must be in space as x-rays are blocked by the atmosphere and can observer high-energy events and areas
structure, positioning and use of gamma telescope
no mirrors radiation passes through detectors made of layers of pixels and must be in space as gamma is blocked by atmosphere and can observe gamma ray bursts, quasars, black holes and sonar flares
apparent magnitude
how bright star appears from earth
absolute magnitude
how bright star appears 10 parsecs from earth
Hipparcos scale
logarithmic scale of apparent magnitude based on the brightness of stars as observed from Earth
parsec
distance at which a star would have a parallax angle of 1 arcsecond when observed from Earth (1/3600th of a degree)
light year
distance travelled by light in a vacuum in one year
black body
perfect absorber and perfect emitter of radiation
supernova
explosion of a star increases absolute magnitude
type1a supernova
result of white dwarf core accumulating too much matter from binary partner and exploding above critical mass
type 2 supernova
single star collapses under its own gravity causing outer layers to be ejected
black hole
region of space where gravity is so strong that nothing, not even light, can escape from it.
dark energy
hypothetical form of energy that causes the expansion of the universe to accelerate
formula for radius of black hole
R=2GM/c²
doppler effect
wavelength increases frequency decreases
red shift
wavelength of light from an object increases because the object is moving away from the observer
Hubbler’s law
velocity of receding galaxies is proportional to their distance from earth
quasars
extremely luminous and distant objects powered by supermassive black holes at the centre of a young galaxy
exoplanets
planets that are not in our solar system
detecting exoplanets
radial velocity method and transit method
CCD detector
charge coupled devices used in telescopes to detect and record images of astronomical objects
Balmer lines
visible spectral lines produced when electrons in hydrogen atoms fall from higher energy levels to the n=2energy level
transit method
detects exoplanets by measuring the small drop in brightness of a star when a planet passes in front of it
what is collecting power proportional to?
collecting power proportional to diameter^2
big bang theory evidence
abundance of H and He and CMBR
angle formula with arc length
s/d
age of planet or universe
1/Hubbles constant
what does schwarzchilds radius represent
radius of event horizon of a black hole
black body assumptions
perfect black bodies and no light absorbed/scattered by interstellar material between star and observer
life cycle of star
nebula,protostar,mainsequence,giant,white dwarf or supernova
how does CCD work
semiconductor device converts a photon into a current
formula for distance to a nearby star
d=1/parallax angle
converging lens
lens that causes parallel rays of light to come together at a point called the principal focus
adv of refracting telescope
simple design,good image quality,lens protection
adv of reflecting telescope
no chromatic abberation,cheaper to scale up
angular resolution
smallest angular separation between two objects that can still be seen as two distinct objects
why can wide telescopes resolve but narrow telescopes cant
better angular resolution
formula for velocity between stars in a binary system
2pixr/T
what were quasars discovered as
bright radio sources showing large optical redshifts