Final answer:
The energy of a photon with a wavelength of 6.50E-20 m is calculated using the formula E = hc/λ, with the Planck's constant and the speed of light. The resulting energy is 3.05 × 10´ J.
Step-by-step explanation:
Calculating Photon Energy
To calculate the energy of a photon with a given wavelength, we use the formula E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon. Given that Planck's constant h is 6.626 × 10-34 J·s and the speed of light c is approximately 3.00 × 108 m/s, we can plug in the values to find the photon's energy.
Using the provided wavelength of 6.50E-20 m, the calculation is as follows:
E = (6.626 × 10-34 J·s)(3.00 × 108 m/s) / 6.50 × 10-20 m
After multiplying and dividing the given numbers, we find that the energy of the photon is 3.05 × 104 J.