Energy of photon given temperautre I have a question asking to find the energy of a photon emitted

Ezequiel Olson

Ezequiel Olson

Answered question

2022-04-28

Energy of photon given temperautre
I have a question asking to find the energy of a photon emitted from mater of temperature T. If the question had asked frequency, it would have clearly been that E p h o t o n = h f. I do know that classically, the energy of an oscillator is E = K b T. Is it okay to use this formula for this question?

Answer & Explanation

Araceli Soto

Araceli Soto

Beginner2022-04-26Added 1 answers

According to the physics of blackbody radiation, Wien's displacement law states that the peak (i.e. most probable) wavelength of radiation from a perfect blackbody at temperature T is given by
λ p e a k = 2.898 × 10 3 m K T
From the wavelength you can, of course, calculate the frequency and therefore the energy.
I am making an assumption that this probably wants you to make the approximation that the object is close to a perfect blackbody, and that you've probably measured more than just "one photon" so you actually know the most common photon wavelength coming out.

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