Answer:
We'll use the following equation to calculate the energy of the photon:
* E = hc/λ
Where:
* E is the energy of the photon in joules (J)
* h is Planck's constant (6.626 x 10^-34 Js)
* c is the speed of light (3.00 x 10^8 m/s)
* λ is the wavelength of the photon in meters (m)
Converting Wavelength to Meters
First, we need to convert the wavelength from nanometers (nm) to meters (m):
* 757 nm * (1 m / 1 x 10^9 nm) = 7.57 x 10^-7 m
Calculating Energy
Now, we can plug the values into the equation:
* E = (6.626 x 10^-34 Js) * (3.00 x 10^8 m/s) / (7.57 x 10^-7 m)
* E ≈ 2.63 x 10^-19 J
Therefore, the energy of the photon is approximately 2.63 x 10^-19 joules.
