Module 5: C19 - Stars Flashcards

You may prefer our related Brainscape-certified flashcards:
1
Q

How are Nebulae formed?

A

Nebulae are formed over millions of years as the tiny gravitational attraction between particles of dust and gas pulls the particles towards each other, eventually forming the vast clouds.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

How is a Protostar formed?

A

As dust and gas particles get closed together, this gravitational collapse accelerates. Due to tiny variations in the nebula, denser regions begin to form. These regions pull in more dust and gas, gaining mass and getting denser, and also getting hotter as gravitational energy is eventually transferred to thermal energy. In one part of the cloud a protostar forms - this is not yet a star but a very hot, very dense sphere of dust and gas.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

How does a Protostar become a Star?

A

For a protostar to become a star, nuclear fusion needs to start in its core. Many protostars never reach this stage. Fusion reactions produce energy in the form of kinetic energy. Extremely high pressures and temperatures inside the core are needed in order to overcome the electrostatic repulsion between hydrogen nuclei in order to fuse them together to form helium nuclei. In some cases, it grows large and hot enough that the kinetic energy of the hydrogen nuclei is large enough to overcome this electrostatic repulsion, forcing them together to make helium nuclei as nuclear fusion begins, forming a star.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What happens to a Star in its Main Sequence

A

Once a star is formed, it remains in a stable equilibrium with almost a constant size. Gravitational forces act to compress the star, but the radiation pressure from the photons emitted during fusion and the gas pressure from the nuclei in the core push outwards. The force from this radiation and gas pressure balances the force from the gravitational attraction and maintains equilibrium.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What factors affect how long a star remains stable (in its main sequence) for?

A

How long a star remains stable depends on the size and mass of its core. The cores of large, massive supergiant stars are much hotter than those of small stars, releasing more power and converting the available hydrogen into helium in a much shorter time.

(Really massive stars are only stable from a few millions years, whereas smaller stars like the sun are stable for tens of billions of years).

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Description of a Planet

A

A planet is an object in orbit around a star with 3 important characteristics:

  • It has a mass large enough for its own gravity to give it a round shape (unlike irregular shape of asteroids)
  • It has no fusion reactions (unlike a star)
  • It has cleared its orbit of most other objects (asteroids, e.c.t)
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Description of a Dwarf Planet

A

Dwarf planets (like Pluto) have not cleared their orbit of other objects. In Pluto’s case there are many other bodies of comparable size close to its orbit.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Description of an Asteroid

A

Asteroids are objects too small and uneven to be planets, usually in near-circular orbits around the Sun without the ice present in comets.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Description of a Planetary Satellite

A

A planetary satellite is a body in orbit around a planet. This includes moon and man-made satellites.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Description of a Comet

A

Comets range from a few hundred meters to tens of kilometres across. They are small irregular bodies made up of ice, dust, and small pieces of rock. All comets orbit the Sun, many in highly eccentric elliptical orbits. As they approach the Sun, some comets develop spectacular tails.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Description of Solar Systems

A

Our Solar System contains the Sun and all objects that orbit it (planets, comets, e.c.t). It is one of many. In 2014 over 1100 other solar systems (sometimes called planetary systems) have been discovered.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Description of a Galaxy

A

A galaxy is a collection of stars, and interstellar dust and gas. On average a galaxy will contain 100 billion stars, a significant proportion of which have their own solar systems.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What is the Cosmological Principle

A

The idea that the universe has the same large scale structure when observed from any point within it is known as the cosmological principle.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What are the 3 Assumptions of the Universe

A

⚫ The universe is homogeneous (it’s density is the same everywhere)

⚫ The universe is isotropic (it’s the same in all directions)

⚫ The laws of physics are universal (all laws of physics on Earth can be applied to other places in the universe)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Evolution Stages of Lower Mass Stars

A
  • Main Sequence
  • Red Giant
  • White Dwarf (rest of mass projected out in a planetary nebula)

The evolution of stars of lower mass, from main sequence to red giant and ending with a white dwarf. The planetary nebula may collapse again to form another star, or even a solar system with its own planets.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Evolution Stages of More Massive Stars

A
  • Main Sequence
  • Red Supergiant
  • Supernova
  • Neutron Star or Black Hole
How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

What is a Red Supergiant made up of?

A

Inside a red supergiant, the core is made up of onion-like layers in which different elements are created by fusion, with heavier elements deeper in, up to the central core, made of stable iron nuclei that cannot fuse any further.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Solar Mass required to form a White Dwarf

A

< 1.4 Mo

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Solar Mass required to form a Neutron Star

A

1.4Mo - 2.0Mo

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Solar Mass required to form a Black Hole

A

2Mo <

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

What makes up a Neutron Star?

A

After a 1.4 to 2 solar mass star has exploded in a supernova, only the inner core of the star remains.

This core will have a radius of only 10 km, and a density more than 14 orders of magnitude higher than that of the Sun, and close to the density of an atomic nucleus. This is a neutron star.

The outer shell is thought to be composed of a solid crust of atomic nuclei. Inside this crust is a liquid interior composed almost entirely of neutrons, increasing in density towards the centre, to reach nearly 10^18 kgm^–3.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

How is a Black Hole Formed?

A

When a large star ends its life in a supernova, the central core that is left behind is so massive that the neutrons inside it are destroyed by gravitational forces.

It becomes smaller and more dense than a neutron star, and eventually its centre collapses into a point of infinite density called a singularity.

Its gravitational field is now so strong that nothing can escape it, including light, so it appears black. This is a black hole.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

What is an Event Horizon?

A

Every black hole is surrounded by an event horizon. Nothing that occurs within this boundary can ever affect the Universe outside it, and anything that crosses this horizon will fall into the black hole.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

What is the Schwarzchild Radius

A

Light can escape from the vicinity of a black hole if it is outside a radius called the Schwarzschild radius.

Inside this boundary, the escape velocity from the black hole is greater than the speed of light. Nothing can move faster than light, so nothing can escape.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q

Equation for the Schwarzchild Radius

A

The Schwarzschild radius, Rs, is the minimum value of r in this inequality:

1/2 mv^2 ≥ GMm/r
r ≥ 2GM/v^2

Therefore,
Rs = 2GM/c^2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
26
Q

What is the Schwarzschild radius of a black hole four times the mass of the Sun?
(1 solar mass = 2.0x10^30 kg)

A

Rs = 2GM/c^2

Rs = 2 x 6.67x10^-11 x 4 x 2.0x10^30 / (3x10^8)^2

Rs = 11857m
Rs = 12km

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
27
Q

How does an object falling into a black hole look for an outsider, as well as the object itself

A

To an outside observer, an object falling into the black hole slows down as it approaches the event horizon, never quite crossing it.

From the object’s point of view, it crosses the event horizon and falls towards the singularity.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
28
Q

What happens to Red Giants

A

At the start of the red giant phase, the reduction in energy released by fusion in the core means that the gravitational force is now greater than the reduced force from radiation and gas pressure. The core of the star therefore begins to collapse. As the core shrinks, the pressure increases enough to start fusion in a shell around the core.

Red giant stars have inert cores. Fusion no longer takes place, since very little hydrogen remains and the temperature is not high enough for the helium nuclei to overcome the electrostatic repulsion between them. However, fusion of hydrogen unto helium continues in the shell around the core. This causes the periphery of the star to expand as layers slowly move away from the core. As these layers expand, they cool giving the star its red colour

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
29
Q

What happens to White Dwarfs (and how are they formed)

A

Eventually most of the layers of the red giant around the core drift off into space as a planetary nebula, leaving behind the hot core as a white dwarf. The white dwarf is very dense, often with a mass around that of our Sun, but with the volume of Earth. No fusion reactions take place inside a white dwarf. It emits energy only because it leaks photons created in its earlier evolution.

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
30
Q

What is Electron Degeneracy Pressure

A

Electron Degeneracy Pressure is a pressure from electrons that are squeezed together in the core of a star that begins to collapse under the force of gravity. It’s this pressure from the electrons that prevent the core from further gravitational collapse.

31
Q

What is the Chandrasekhar Limit

A

Electron degeneracy pressure is only sufficient to prevent gravitational collapse if the core has a mass less than 1.44M☉. It’s this limit of 1.44M☉ that is called the Chandrasekhar limit.

32
Q

Why do more massive stars form/what makes more massive stars form?

A

As stars with smaller masses, when the hydrogen in the core runs low, the core begins to collapse under gravitational forces. However, as the cores of these more massive stars are much hotter, the helium nuclei formed from the fusion of hydrogen nuclei are moving fast enough to overcome electrostatic repulsion, so fusion of helium nuclei into heavier elements occur.

33
Q

How are Super Red Giants Formed?

A

Changes in the core cause the star to expand, forming a red supergiant. Inside, the temperatures and pressures are high enough to fuse even massive nuclei together, forming a series of shells inside the star.

This process continues until the star develops an iron core. Iron nuclei cannot fuse, because such reactions cannot produce any energy. This makes the star very unstable and leads to the death of the star in an implosion of the layers that bounce of the solid core, leading to a shockwave that ejects all the core material into space. This ‘explosion’ is called a Supernova.

34
Q

How does a Supernova take place?

A

For more massive stars, at a critical point (depending on the mass of the star) the nuclear fusion taking place in the core becomes unable to withstand the crushing gravitational forces. The star collapses in on itself, leading to a supernova. Afterwards, the remnant core is compressed into a neutron star or a black hole.

35
Q

How is a Neutron Star Formed?

A

If the mass of the core is greater than the Chandrasekhar limit (1.44M☉), the gravitational collapse continues, forming a neutron star. These stars are almost entirely made up of neutrons and can be very small with a typical mass of 2M☉.

36
Q

How is a Black Hole Formed?

A

If the core has a mass greater than about 3M☉, the gravitational collapse continues to compress the core. The result is a gravitational field so strong that in order to escape it, an object would need an escape velocity greater than the speed of light. Nothing, not even photons, can escape a black hole. Black holes vary in mass. Super-massive black holes with masses of several million M☉ are thought to be at the centre of most galaxies.

37
Q

What do Supernovae Create?

A

Supernovae create all the heavy elements. Everything above iron in the periodic table was created in a supernova, and such events help to distribute these heavier elements throughout the universe.

38
Q

How do Lower Mass Stars move across the Hertzsprung-Russell Diagram

A

Lower mass stars like our Sun evolve into red giants, moving away from the main sequence. They then gradually lose their cooler outer layers, and slowly move across the diagram, crossing the main sequence line to end up as white dwarfs.

39
Q

How do Higher Mass Stars move across the Hertzsprung-Russell Diagram

A

Higher mass stars start at X, before rapidly consuming their fuel and swelling into red supergiants at Y before they go supernova.

40
Q

What can Brightness be measured with?

A

A Light Meter

41
Q

How is Light Measured?

A

In:
- Luminous Emmitance (Lux(lx))
- Luminoys Flux (lumens(lm))
- Luminous Intensity (candela (cd))

42
Q

What is Flux

A

Flux is the intensity of coming out from a star.

Flux is inversely proportional to the square of the distance from a source. This is an inverse square law.

43
Q

Equation for Flux

A

F = P / 4πd^2

44
Q

What is Apparent Magnitude

A

Apparent magnitude (m) uses a logarithmic scale to give an idea of the order of magnitude of the star’s brightness.

Apparent magnitude makes it possible to put all celestial objects on a scale from roughly –30 (the Sun) to +30 (the faintest objects visible in the Hubble Space Telescope).

45
Q

What is the Equation to Find Apparent Magnitude

A

m = –2.5 log F + constant

The constant is based on the brightness of a comparison star, usually Vega, one of the brightest stars in the night sky.

46
Q

What is Absolute Magnitude

A

Related to apparent magnitude, is absolute magnitude (M). This removes the effect of distance, by giving the apparent magnitude of a star if it was at a standard distance of 10 pc.

47
Q

What is the Equation to Find Apparent Magnitude

A

If d is the distance to the star, then M is given by:

m – M = 5log(d/10)

48
Q

What does the Hertzsprung-Russell Graph show

A
  • It is basically a chart of a star’s luminosity (energy output) or absolute magnitude against temperature or spectral type.
  • The diagram allows the major classes of star to be defined.
  • It also shows us how stars evolve.
49
Q

What happens when a gas is given more energy?

A

When a gas is given more energy (in the form of light, nuclear, heat or electric energies), the electrons use that energy to move to a higher electron shell level.

They are excited.

50
Q

What happens when an electron moves from a higher energy level to a lower energy level

A

When an electron moves from a higher energy level to a lower energy level it looses energy and this is given off in the form of light energy at a frequency f, given by E = hf where h = Planck’s constant.

This is de-excitation or relaxation.

51
Q

Equation for change in Energy (for energy levels)

A

E = hf

or

E = hc / λ

52
Q

What happens when an electron moves between energy levels in an atom?

A

When an electron moves between energy levels in an atom, it releases or absorbs a photon. When moving up energy levels, only a single photon of the relevant energy can be absorbed. It is not possible for an electron to ‘store up’ energy from smaller quanta until it has enough to jump.

53
Q

Explain how stars form absorption spectra

A

Absorption spectra in stars are formed as light emitted from the star’s core passes through its outer layers. The spectrum is made by the frequencies of light occur when the electrons absorb energy and become “excited” in the ground state to reach higher energy states. When these electron “relax” the light photons are emitted. Energy can be calculated using E = hf. This emitted light contains a wide range of wavelengths but encounters atoms and molecules in the star’s atmosphere as it travels. These elements absorb certain wavelengths of light based on their unique electron energy levels, creating dark lines known as absorption lines in the spectrum measured by a spectrometer. This can tell us the wavelengths absorbed, showing us the elements that make up the star’s outer layer. Using this information, you can work out a star’s chemical composition.

54
Q

What are the rules of Energy Levels in gas atoms

A

⚫ When electrons orbit an atom, they can only exist in one of the discrete energy levels.
⚫ They can not exist inbetween energy levels
⚫ Energy levels are negative (an electron with 0 energy is free from the atom)
⚫ The energy level which is most negative is nearest the nucleus and is known as the ground state.

55
Q

What are the 3 kinds of spectra

A
  • Emission Line Spectra
  • Continuous Line Spectra
  • Absorption Line Spectra
56
Q

What is an Emission Line Spectra

A

Each element produces a unique emission line spectrum because of its unique set of energy levels.

57
Q

What is a Continuous Spectra

A

All visible frequencies or wavelengths are present. The atoms of a heated solid metal (e.g lamp filament) will produce this type of spectrum.

58
Q

What is an Absorption line spectra

A

This type of spectrum has a series of dark spectral lines against the background of continuous spectrum. The dark lines have exactly the same wavelengths as the bright emission spectral lines for the same gas atoms.

59
Q

How are characteristic emission line spectrums formed?

A

If the atoms in a gas are excited (e.g, within the hot environment of stars), then when the electrons drop back into lower energy levels they emit photons with a set of discrete frequencies specific to that element. This produces a characteristic emission line spectrum. Each spectral line corresponds to photons with a specific wavelength. These spectra can be observed in a laboratory from heated gases.

60
Q

How are dark lines created in absorption spectra and what do they show?

A

An absorption line spectrum is formed when light from a source that produces a continuous spectrum passes through a cooler gas. As the photons pass through the gas, some are absorbed by the gas atoms, raising electrons up into higher energy levels and so exciting the atoms. Only photons with energy exactly equal to the difference between the different energy levels are absorbed. This means that only specific wavelengths are absorbed, creating dark lines in the spectrum.

These lines show which photons have been absorbed by the gas atoms. Although the photons are re-emitted when the electron drops back down to a lower energy level atom, they are emitted in all possible directions, so the intensity in the original direction is greatly reduced.

61
Q

How is the absorption line spectrum for any gas related to its emission line spectrum

A

The absorption line spectrum for any gas is very nearly a negative of its emission line spectrum.

A few lines from the emission line spectrum may not be visible in the absorption line spectrum because in excited atoms, electrons may return to their ground state in stages, releasing a photon each time, whereas absorption lines are mostly caused by electrons starting from their ground state.

62
Q

How can we detect elements within stars?

A

When the light from a star is analysed, it is found to be an absorption line spectrum. Some wavelengths of light are missing - the photons have been absorbed by atoms of cooler gas in the outer layers of the star.

If we know the line spectrum of a particular element, we can check whether the element is present in the stat, even for extremely distant stars. If a particular element is present then it’s characteristic pattern of spectral lines will appear as dark lines in the absorption line spectrum.

63
Q

What is a Black Body

A

A black body is a theoretical object that absorbs all the light that hits it, so it appears perfectly black when cold. When heated above absolute zero, it emits light across the whole electromagnetic spectrum

64
Q

What is Wien’s displacement law

A

Wien’s displacement law states that the hotter the black body, the shorter the peak wavelength of the curve:

λmax T = constant
λmax T = 2.9x10^-3 mK

65
Q

Example Question:

Estimate the temperature of an orange star with a peak wavelength of 600 nm.

A

λmax T = 2.9x10^-3 mK
600nm T = 2.9x10^-3 mK
T = 2.9x10^-3 / 600x10^-9
T = 4833 K
T = 4800 K

66
Q

What is Luminosity (or Power Output)

A

The amount of energy a star radiates per second, in all directions, is its luminosity. This is its power output.

67
Q

What is Stefan’s Law (+ equation)

A

Stefan’s law states that the luminosity of a star is directly proportional to its surface area.

L = 4πr^2σT^4
L = σAT^4

Stefan-Boltzmann constant
(σ = 5.7x10^-8 JK^-4m^-2s^-1)

68
Q

Example Question:

What is the Luminosity of a star of temperature 4500K, with a surface area of 6.09x10^18 m^2

A

L = σAT^4
L = 5.7x10^-8 x 6.09x10^18 x 4500^4
L = 1.423x10^26
L = 1.42x10^26 W

69
Q

What does Stefan’s Law show that the luminosity of a star is directly proportional to?

(Stefan’s Law: L = 4πr^2σT^4)

A

It’s proportional to:

  • It’s radius^2 (L∝r^2)
  • It’s surface area (L∝4πr^2)
  • It’s surface absolute temperature^4 (L∝T^4)
70
Q

What is a Diffraction Grating?

A

A diffraction grating is an optical component with regularly spaced slits or lines that diffract and split light into beams of different colour travelling in different directions.

71
Q

What does using a large number of lines in a grating help with

A

Using a large number of lines produces a clearer and brighter interference pattern.

72
Q

What happens when light passes through a diffraction grating

A

When light passes through a diffraction grating, it is split into a series of narrow beams. The direction of these beams depends on the spacing of the lines, or, slits, of the grating and the wavelength of the light. Therefore, when white light is passed through a diffraction grating it splits into its component colours, making gratings especially useful in spectroscopy

73
Q

What is the Grating Equation (used to determine wavelength of monochromatic light)

A

λ = a sinØ / n

74
Q

Worked Example:

Monochromatic light from a laser of wavelength 532nm is incident normally at a diffraction grating. The angle between the second-order maximum and the zero-order maximum is measured to be 32°. Calculate the gating spacing, d.

A

Step 1’ Rearrange d sinØ = nλ for d.
d = nλ / sinØ

Step 2: Since the angle between the second-order maximum and the zero-order maximum is used, n = 2
Therefore d = 2 x 532x10^-9 / sin(32) = 2.0x10^-6 m