Question

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

Answer 1

The energy of one photon of this microwave radiation is
`1.56* 10^(-24)\ J`.

Step-by-step explanation:

Given that,

Wavelength of the microwave,
`\lambda=12.7\ cm=12.7* 10^(-2)\ m`

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 :

`E=(nhc)/(\lambda)\\\\E=(1* 6.63* 10^(-34)* 3* 10^8)/(12.7* 10^(-2))\\\\E=1.56* 10^(-24)\ J`

So, the energy of one photon of this microwave radiation is
`1.56* 10^(-24)\ J`. Hence, this is the required solution.