Final answer:
The wavelength of a photon with an energy of 2.70 x 10^-19 Joules is calculated using the Planck-Einstein relation and is found to be approximately 735 nanometers.
Step-by-step explanation:
To calculate the wavelength of a photon given its energy, we can use the Planck-Einstein relation: E = h*c / 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 in vacuum (approximately 3.00 x 108 m/s), and λ is the wavelength in meters. Rearranging the formula to solve for λ, we get λ = h*c / E.
Substituting the given values, we have λ = (6.626 x 10-34 J*s) * (3.00 x 108 m/s) / (2.70 x 10-19 J).
Carrying out the calculation yields λ ≈ 7.35 x 10-7 meters, which is equivalent to 735 nanometers.
Therefore, the wavelength of the photon with an energy of 2.70 x 10-19 Joules is approximately 735 nanometers.