Neneeeeeeeee6314 Neneeeeeeeee6314
  • 03-07-2018
  • Physics
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Microwave ovens emit microwave energy with a wavelength of 12.0 cm. what is the energy of exactly one photon of this microwave radiation?

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skyluke89
skyluke89 skyluke89
  • 12-07-2018
The wavelength of the photon is:
[tex]\lambda =12.0 cm=0.12 m[/tex]

We can find its frequency by using the relationship:
[tex]f= \frac{c}{\lambda} [/tex]
where c is the speed of light. Substituting the wavelength into the formula, we find
[tex]f= \frac{c}{\lambda}= \frac{3 \cdot 10^8 m/s}{0.12 m}=2.5 \cdot 10^9 Hz [/tex]

and now we can calculate the energy of the photon by using:
[tex]E=hf=(6.6\cdot 10^{-34} Js)(2.5 \cdot 10^9 Hz)=1.65 \cdot 10^{-24} J[/tex]
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