A line at 3802cm^-1 is obtained in the infrared region of the atomic spectrum of Hydrogen. Determine the energy of this photon.
To determine the energy of a photon, we can use the equation:
E = hc / λ
where E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3.0 x 10^8 m/s), and λ is the wavelength of the photon.
First, we need to convert the given wavelength from centimeters to meters:
3802 cm = 3802 x 10^-2 m = 38.02 m
Now we can calculate the energy of the photon using the equation:
E = (6.626 x 10^-34 J*s) * (3.0 x 10^8 m/s) / (38.02 m)
E = 5.29 x 10^-19 J
Therefore, the energy of the photon is 5.29 x 10^-19 J.