Microwave ovens emit microwave energy with a wavelength of 12.7 cm. What is the energy of exactly one photon of this microwave radiation? socratic.org

Respuesta :

Answer:

The energy of one photon of this microwave radiation is [tex]1.56\times 10^{-24}\ J[/tex].

Explanation:

Given that,

Wavelength of the microwave, [tex]\lambda=12.7\ cm=12.7\times 10^{-2}\ m[/tex]

We need to find the energy of exactly one photon of this microwave radiation. We know that the energy of a photon is given by the formula as :

[tex]E=\dfrac{nhc}{\lambda}\\\\E=\dfrac{1\times 6.63\times 10^{-34}\times 3\times 10^8}{12.7\times 10^{-2}}\\\\E=1.56\times 10^{-24}\ J[/tex]

So, the energy of one photon of this microwave radiation is [tex]1.56\times 10^{-24}\ J[/tex]. Hence, this is the required solution.