Question

1. Cosmic background radiation The universe is full of cosmic microwave background radiation. Find the wavelength at which the spectral density $u(\lambda, T)$ (the energy density per unit wavelength range) is a maximum. Assume that the temperature of the radiation is 3K. Use the numerical solution of $1 - \exp(-x) = \frac{x}{5}$, (1) which is $x = 4.96$.

          1. Cosmic background radiation
The universe is full of cosmic microwave background radiation. Find the wavelength at which
the spectral density $u(\lambda, T)$ (the energy density per unit wavelength range) is a maximum.
Assume that the temperature of the radiation is 3K. Use the numerical solution of

$1 - \exp(-x) = \frac{x}{5}$,

(1)

which is $x = 4.96$.

1. Cosmic background radiation
The universe is full of cosmic microwave background radiation. Find the wavelength at which
the spectral density u(λ, T) (the energy density per unit wavelength range) is a maximum.
Assume that the temperature of the radiation is 3K. Use the numerical solution of

1 - (-x) = (x)/(5),

(1)

which is x = 4.96.

Added by Andrea H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Timothy James

08/14/2023

Step 1

Step 1: The spectral density u(\lambda, T) of blackbody radiation is given by Planck's law, which is u(\lambda, T) = (8πhc) / (\lambda^5 * (exp(hc / (\lambda * k * T)) - 1)), where h is the Planck constant, c is the speed of light, k is the Boltzmann constant, T is Show more…

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Cosmic background radiation The universe is full of cosmic microwave background radiation. Find the wavelength at which the spectral density u(lambda ,T) (the energy density per unit wavelength range) is a maximum. Assume that the temperature of the radiation is 3K. Use the numerical solution of 1-exp(-x)=(x)/(5) which is x=4.96. 1.Cosmic background radiation The universe is full of cosmic microwave background radiation. Find the wavelength at which the spectral density u(,T the energy density per unit wavelength range is a maximum Assume that the temperature of the radiation is 3K. Use the numerical solution of 1-exp( (1) which is =4.96.