Final answer:
The energy of a photon of red light with a 700 nm wavelength is approximately 2.84 x 10^-19 joules, calculated using the equation E = hc/λ with Planck's constant and the speed of light.
Step-by-step explanation:
To determine the energy of a photon of red light with a wavelength of 700 nm, we can use the equation E = hc/λ, where E is the energy, h is Planck's constant (6.626 x 10^-34 J s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the light. Since 1 nm = 1 x 10^-9 m, the wavelength in meters is 700 x 10^-9 m. Plugging these values into the equation, we have:
E = (6.626 x 10^-34 J s) x (3.00 x 10^8 m/s) / (700 x 10^-9 m)
Performing the calculation gives us an energy E of approximately 2.84 x 10^-19 joules. This energy corresponds to the energy of a single photon of red light with a 700 nm wavelength.