In order to see how this number density changes with energy, we need the derivative of n(E) with respect to E keeping T fixed. Evaluate dn/dE at fixed T and enter it below.
In order to see how this number density changes with energy, we need the derivative of n(E) with respect to E keeping T fixed. Evaluate dn/dE at fixed T and enter it below.
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Transcribed Image Text:I Review I Constants
The number density of photons left over from the Big Bang has
Part A
E?
eE/T –1
an energy dependence of the form n(E)
is the energy of the photon and T is the temperature of this relic
radiation. (For your information, this temperature has been
measured to be about -270 degrees Celsius, but don't use this
information for the questions below.)
where E
In order to see how this number density changes with energy, we need the derivative of n(E) with respect to E keeping T fixed. Evaluate dn/dE at fixed T
and enter it below.
Leave your answer symbolic form in terms of E and T.
• View Available Hint(s)
V ΑΣφ
?
E
E
E²
T
T
|2E
T
E
2
T.
e
Submit
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Part B
As we go back in time, the temperature of this relic radiation increases. In order to figure out how the number density changes with temperature, we need the
derivative of n with respect to T. Evaluate dn/dT at fixed E and enter it below.
Leave vour answer in symbolic form terms of E and T.
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