Question

A radio wave has a frequency of 8.6 × 108 hz. what is the energy of one photon of this radiation (h = 6.63 × 10–34 j • s)?

Answer 1

Answer: $57.018\times10^{-26}J$

Energy is directly proportional to the frequency.

The energy of a photon is given by:

$E=h\nu$

Where, E is the energy and $\nu$ is the frequency.

Frequency of the radio wave is given:

$\nu=8.6\times10^8 Hz$

$h=6.63\times10^{-34}J.s$

Multiply the above two:

Energy,

$E=h\nu=6.63\times10^{-34}J.s\times8.6\times10^8 Hz= 57.018\times10^{-26}J$

Hence, the energy of each photon of radio wave having frequency  $\nu=8.6\times10^8 Hz$ is $57.018\times10^{-26}J$