5.5 Astrophysics and Cosmology Flashcards

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1
Q

What is the definition of a planet?

A

A planet is an object in orbit around a star with three characteristics:
- large enough mass for its own gravity to give it a spherical shape
- no fusion reactions
- has cleared its orbit of most other objects

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2
Q

What is the definition of a planetary satellite?

A

A planetary satellite is a body in orbit around a planet. This includes moons (natural satellites) and man-made satellites.

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3
Q

What is the definition of a comet?

A

A comet is a small, irregular body made up of ice, dust and small pieces of rock. They orbit stars in elliptical orbits.

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4
Q

What is the definition of a solar system?

A

A solar system contains a star and all the objects that orbit around it.

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5
Q

What is the definition of a galaxy?

A

A galaxy is a collection of stars, interstellar dust and gas.

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6
Q

What is the definition of the universe?

A

The universe includes all of space-time (energy, matter etc.).

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7
Q

How does a main sequence star form from interstellar dust and gas?

A
  • Star formation begins in a nebula.
  • The dust and gas is pulled closer together by gravity, and undergoes gravitational collapse.
  • Due to variations in the nebula, denser regions begin to form.
  • Protostars form at the centres of these dense regions.
  • During collapse, gravitational potential energy is converted into thermal energy, causing the protostar to become hot and dense.
  • Nuclear fusion begins when the core reaches a temperature and pressure sufficient for hydrogen nuclei to undergo fusion, forming helium.
  • The protostar transitions into a main sequence star.
  • A main sequence star maintains equilibrium through a balance between radiation pressure (from nuclear fusion) and gas pressure (from high temperature and density) pushing outwards against gravity, resisting gravitational collapse.
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8
Q

How does a low-mass star evolve from a main sequence star to a white dwarf?

A
  • Stars between 0.5 and 10 solar masses are low-mass stars.
  • As hydrogen in the core runs out, the core of the star collapses. The core is inert.
  • The pressure and temperature in the outer shell increases, hydrogen fusion begins to occur and the outer shell of the star expands.
  • The outer layers continue to expand and cool until they eventually drift off into space as planetary nebulae, leaving behind the hot dense core (white dwarf).
  • The white dwarf does not undergo fusion, it emits light from its previous fusion reactions.
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9
Q

What are the characteristics of a white dwarf and how does it not collapse due to gravity?

A
  • A white dwarf is very hot and dense, although small.
  • The Pauli exclusion principle states that two electrons cannot exist in the same energy state, so the electrons in the star cannot be squeezed together any more by gravity.
  • This is called electron degeneracy pressure, and prevents the gravitational collapse of the white dwarf.
  • However, this only applies to cores with mass below the Chandrasekhar limit (1.44 solar masses). Electron degeneracy pressure is not enough to prevent the gravitational collapse of more massive stars.
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10
Q

How do high-mass stars evolve from main-sequence stars to neutron stars or black holes?

A
  • High-mass stars have mass greater than 10 solar masses.
  • Due to more force from gravity and higher pressure and temperature in the core, the stars run out of Hydrogen more quickly than low-mass stars.
  • When hydrogen in the core runs out, the core collapses.
    However, since the core is very hot, fusion of helium nuclei into other elements occurs.
  • Changes in the core cause the star to expand into a red supergiant.
  • Fusion of heavier elements occurs in the inner layers, and lighter elements in the outer layers, until an iron core develops.
  • Iron nuclei cannot fuse, so makes the star unstable.
  • The outer layers collapse and the star explodes as all the outer layers bounce off the iron core, ejecting all the core material into space (this is a supernova).
  • If the mass of the core is greater than the Chandrasekhar limit, but less than 3 solar masses, a neutron star forms.
  • If the mass of the core is greater than 3 solar masses, gravitational collapse continues and the star becomes a black hole.
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11
Q

What are the properties of neutron stars and black holes?

A
  • Neutron stars are very dense, but small, and almost entirely made up of neutrons. They are prevented from collapsing by neutron degeneracy pressure, (also described by Pauli’s exclusion principle).
  • Black holes are formed when the star collapses into a small enough point that the resulting gravitational field is so strong that the escape velocity is greater than the speed of light.
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12
Q

What is the Hertzsprung-Russell diagram?

A
  • The Hertzsprung-Russell diagram is a graph of stars with luminosity on the y-axis and average surface temperature on the x-axis.
  • The temperature axis increases to the left.
  • Main sequence stars are found in a curved line going diagonally downwards across the entire graph.
  • Red giants are just above and to the right of the centre of the graph, splitting from the main sequence line.
  • Red supergiants are in a horizontal line at the very top of the graph on the right, very bright but not very hot.
  • White dwarfs sit in the bottom left corner, very hot, but dim.
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13
Q

What are energy levels of electrons in isolated gas?

A
  • When bound to atoms in a gas, electrons exist at discrete energy levels.
  • These energy levels are negative, because external energy is required to remove an electron from an atom.
  • an electron with 0 energy is free from the atom.
  • The energy level with the most negative value is called the ground state/level.
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14
Q

How do emission spectral lines form in terms of energy levels and transitions?

A
  • When an electron moves to a higher energy level, it is said to be excited.
  • This requires the input of external energy.
  • When the electron moves back to a lower energy level, it loses this energy.
  • The energy lost is emitted as a photon with an energy equal to the energy change of the electron’s transition between energy levels.
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15
Q

What equations describe the emission of an electron from a higher to lower energy level?

A

E=hf
E=hc/λ

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16
Q

How are emission spectra used to identify elements within stars?

A
  • Specific energy transitions of electrons within atoms emit specific amounts of energy as photons.
  • These photons have specific wavelengths corresponding to their energy.
  • Each atom has a unique set of electron transitions and emitted photon wavelengths, allowing the element to be identified by looking at the wavelengths of the emitted photons.
17
Q

What are continuous, emission and absorption spectra?

A
  • continuous spectra contain all visible wavelengths of light.
  • emission spectra show the wavelengths of light emitted by an element due to its unique set of energy levels.
  • absorption spectra show only the wavelengths not absorbed by an element (dark areas correspond to the emission spectrum of the element).
18
Q

How is a transmission diffraction grating used to determine the wavelength of light?

A
  • The grating consists of a large number of lines on a plastic or glass slide. When light passes through, it splits into a series of narrow beams which undergo constructive and destructive interference. A pattern of maxima and minima are formed, and the wavelength is determined using the equation dsinθ=nλ.
19
Q

What is Wien’s displacement law?

A
  • Wien’s displacement law states that λmax is inversely proportional to 1/T for any black-body emitter.
  • This allows you to estimate the peak surface temperature of a star.
20
Q

What is Stefan’s law?

A
  • The total power emitted per unit surface area by a black body is directly proportionate to the fourth power of the absolute temperature.
    L = 4πr^2σT^4
  • This shows that the luminosity of a star is directly proportional to r^2, 4πr^2 (surface area) and T^4.
21
Q

How can Wien’s displacement law be used with Stefan’s law to estimate the radius of a star?

A
  • use Wien’s law to estimate the temperature of the star’s surface using a spectral analysis of its peak wavelength.
  • use this temperature in Stefan’s law to work out the radius, when given luminosity.
22
Q

What is the relationship between AU, parsecs and parallax angle.

A
  • A parsec is the distance at which a radius of one AU subtends a parallax angle of one arcsecond.
  • One arcsecond = 1/3600 degrees.
23
Q

How can stellar parallax be used to calculate distances?

A
  • Parallax is the apparent shift in the position of a relatively close star against the backdrop of further stars.
  • The parallax angle can be measured, and the equation d=1/p is used, where p = parallax angle in arcseconds and d = distance in parsecs.
24
Q

What is the cosmological principle?

A
  • The universe is homogeneous and isotropic, and the laws of physics are universal.
25
Q

What is the doppler effect and how does it apply to electromagnetic radiation?

A
  • When a wave source moves relative to an observer, the frequency and wavelength of of the waves received by the observer change compared to what would be observed if the source was stationary (relative to the observer).
  • Light moving away is stretched, so appears more red-shifted.
  • Light moving towards the observer is compressed, so appears more blue-shifted.
26
Q

What is Hubble’s law?

A
  • Hubble’s law states that the recessional speed of a galaxy is almost directly proportional to its distance from the Earth.
  • v=Hd, where H is Hubble’s constant.
27
Q

How is the model of the expanding universe supported by galactic red shift?

A

Almost all light from nearby galaxies is red-shifted, so it is moving away from the Earth, and every point in space is moving away from each other. The further apart the points are, the faster they move (Hubble’s law), so further away galaxies appear more red-shifted. This supports the model of an expanding universe.

28
Q

What is the Big Bang Theory?

A
  • The universe was once contained in a single point (a singularity).
  • This point expanded outward and became the universe we see today.
29
Q

How does the CMBR provide evidence for the Big Bang Theory?

A
  • The CMBR is the microwave radiation that fills all space in the universe.
  • This radiation is what is left over from just after the Big Bang, when the universe was very hot and emitting a lot of gamma radiation.
  • Over time, as the universe expanded, the gamma photons were stretched, and we now see them as microwaves. The average temperature of the universe is now 2.7K.
  • The Big Bang is the only current theory that can explain the origin of the CMBR
30
Q

How can we estimate the age of the universe using Hubble’s constant?

A

Assuming it has expanded uniformly since the Big Bang, the equation t = 1/H can be used to work out the approximate age of the universe.

31
Q

How did the universe evolve from the Big Bang to the present?

A
  • At the Big Bang, space-time was created. The universe is an infinitely hot and dense singularity.
  • The universe expanded rapidly, and is full of electromagnetic radiation in the form of gamma photons.
  • The first fundamental particles (quarks, leptons etc.) gain mass.
  • Quarks combine to create hadrons.
  • Protons and neutrons fuse to create deuterium and helium nuclei, and some lithium and berylium.
  • The universe cools enough for atoms to form, as the nuclei capture electrons. The radiation at this stage is now the CMBR.
  • The first stars appear and begin fusing heavier elements.
  • The Milky Way forms.
  • The Solar System forms from the nebula left over by a supernova, and the sun and planets form.
32
Q

What are current ideas of the universe in terms of dark matter, dark energy and ordinary matter?

A
  • The expansion of the universe is accelerating, and this is theorised to be due to dark energy.
  • Discrepancies between predictions and observations of the velocity of stars in galaxies did not match, leading to the idea of dark matter.
  • normal matter accounts for less than 5% of the universe, dark energy 68% and dark matter 27%.
33
Q

What is the relationship between luminosity and intensity?

A
  • I=L/4πd^2
34
Q

What does homogeneous mean?

A

There is a uniform distribution of matter everywhere in the universe.

35
Q

What does isotropic mean?

A

The universe looks the same in every direction.