1. Question: Calculate
the energy in keV of an x-ray photon that has a wavelength of 0.05 nm.

2. Question: A
popular radio station broadcasts at 100 MHZ. Calculate the wavelength of this frequency

1. Question: Calculate the energy in keV of an x-ray
photon that has a wavelength of 0.05 nm.

Speed of the wave = frequency x
wavelength

Wavelength (w) = Speed of the wave (c) /frequency (f)

Therefore
using the formula:

Energy of photon = Planck's constant (h) x frequency of photon (f) =
hc/w

So: Energy of photon = [6.63x10^{-34} x
3x10^{8}]/0.05x10^{-9} = 4x10^{-15} J

Now the energy is keV
is that in Joules/1.6x10^{-16} since 1keV = 1.6x10^{-16} J

Therefore
for our photon: Energy = 4x10^{-15}/1.6x10^{-16} = 24.9 keV

2.
Question: A popular radio station broadcasts at 100 MHZ. Calculate the wavelength of this
frequency.

100 MHz = 100 000 000 Hz

Using the formula:

Speed
of the wave = frequency x wavelength

Radio waves travel at the speed of light (300
000 000 m/s). So:

Wavelength = speed/frequency = 300 000 000/100 000 000 = 3
m