Calculate the energy of a photon having a wavelength in thefollowing ranges.
(a) microwave, with λ = 50.00 cm
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(b) visible, with λ = 500 nm
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(c) x-ray, with λ = 0.50 nm
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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)

Knowing this, let's begin with the answers:

For

For

For

As we can see, as the wavelength decreases, the energy increases.

the answer is a 3.8cm

explanation: