<h2>
Answers:</h2>
The energy of a photon is given by the following formula:
(1)
Where:
is the Planck constant
is the frequency
Now, the frequency has an inverse relation with the wavelength :
(2)
Where is the speed of light in vacuum
Substituting (2) in (1):
(3)
<u>Knowing this, let's begin with the answers:
</u>
<h2>(a) Microwave: 50.00 cm
</h2><h2 />
For
<h2>(b) Visible: 500 nm
</h2><h2 />
For
<h2>(c) X-ray: 0.5 nm
</h2><h2 />
For
As we can see, as the wavelength decreases, the energy increases.