(3 K) cosmic background radiation is energy left over from events that occurred when the universe was...

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\(3 K\) cosmic background radiation is energy left over from events that occurred when the universe was in a very early stage of development. Given that the amount of energy associated with any radiation is linearly proportional to the radiation frequency and that the energy associated with a \(10^{6}-\mathrm{Hz}\) radio wave is \(6.6 \times 10^{-28} \mathrm{~J}\), what is the frequency of the cosmic background radiation? Assume that the energy of this radiation can be approximated as \(k_{B} T\), where \(T=3.0 \mathrm{~K}\) (thus the name given to this radiation).

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