Final answer:
The kinetic energy of photons can be calculated using the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the photon. After calculation the kinetic energy of the photon comes to 1.53 x 10^-17 J.
Step-by-step explanation:
The kinetic energy of photons can be calculated using the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency of the photon. We can determine the frequency of a photon using the equation
c = λf,
where c is the speed of light and λ is the wavelength.
In this case, the de Broglie wavelength of the photon is given as 0.13 nm. To find the frequency, we can use c = λf and rearrange it to f = c/λ.
Substituting the values, we have
f = (3 x 10^8 m/s) / (0.13 x 10^-9 m)
= 2.31 x 10^16 Hz.
Now, we can find the kinetic energy of the photon using the equation
E = hf.
Substituting the values, we have
E = (6.63 x 10^-34 J.s) x (2.31 x 10^16 Hz)
= 1.53 x 10^-17 J.