2. Key Observations Flashcards

1
Q

What is the equation for the flux from a star?

A

f = L_* / 4 pi r^2

  • Luminosity of the star
  • distance r away
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2
Q

What are the units of the flux from a star?

A

W/m^2

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3
Q

What is the “horizon distance”?

A

That we can’t see stars/light hasn’t reached us yet beyond the distance c*t_0 where t_0 is the age of the universe

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4
Q

What is the consequence of the Universe being finite in age in relation to the night sky?

A

Light hasn’t reached us from all stars so it is not infinitely bright

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5
Q

State the isotropic assumption

A

There is no preferred direction in the Universe

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6
Q

state the homogenenous assumption

A

There is no preferred location in the Universe

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7
Q

What is the equation for redshift?

A

z = Δλ / λ

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8
Q

State Doppler’s law

A

z = v/c

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9
Q

What is the equation for the Hubble constant?

A
v = H_0 r
z = H_0 r/c
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10
Q

What is Hubbles constant?

A

H_0 = 68 ± 2 km/s Mpc

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11
Q

In which regime is Hubble’s constant, H_0, valid?

A

for 0 < z < 0.2

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12
Q

What is “Hubble flow”

A

Galaxies moving away from each other

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13
Q

Define the scale factor

A

A scalar quantity that is a function of time
It relates the distance between two galaxies which increases over time due to expansion.
r(t) = a(t) r(t_0)

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14
Q

State the equation for Hubble’s law

A

H = a dot (t) / a(t)

H - Hubble parameter

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15
Q

How is the Hubble constant obtained from Hubble’s law?

A

Evaluate H = a dot (t) / a(t) at t = t_0

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16
Q

How can the age of the Universe be estimated from Hubble’s constant, and what is it?

A

t_0 = r / v = r / H_0 r = (H_0) ^ -1

(14.4 ± 0.4) Gyr

17
Q

What is the Hubble distance?

A

c t_0 = c / H_0 = (4380 ± 130) Mpc

18
Q

State the relationship between redshift, wavelength and the scalefactor

A

1 + z = λ_obs / λ_em = a_obs / a_em

19
Q

Describe how CMBR has evolved over time

A

Used to be much hotter (2970 K), now 2.73 K

T(t) is proportional to 1/a(t)