Question

A radio wave has a frequency of 4.40 × 108 hz. what is the energy (in j) of one photon of this radiation? enter your answer in scientific notation.

Answer 1

The energy of a single photon is given by

`E=hf`
where

`h=6.6 \cdot 10^(-34) Js` is the Planck constant
f is the frequency of the wave (of the photon)

In our problem, the radio wave has a frequency of
`f=4.40 \cdot 10^8 Hz`, so if we put this value into the previous formula, we can find the energy of a single photon of this electromagnetic wave:

`E=hf=(6.6 \cdot 10^(-34) Js)(4.40 \cdot 10^8 Hz)=2.9 \cdot 10^(-25) J`