Final answer:
The energy of a photon can be calculated using the equation E = hc/λ, where E is the energy of the photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of the photon. Plugging in the given values, the energy of the photon is 3.09 × 10-19 J.
Step-by-step explanation:
The energy of a photon can be calculated using the equation:
E = hc/λ
Where:
- E is the energy of the photon
- h is Planck's constant (6.626 × 10-34 J·s)
- c is the speed of light (3.00 × 108 m/s)
- λ is the wavelength of the photon (in meters)
In this case, the wavelength of the photon is given as 640 nm (or 640 × 10-9 m). Plugging this value into the equation:
E = (6.626 × 10-34 J·s) × (3.00 × 108 m/s) / (640 × 10-9 m)
Simplifying the expression:
E = 3.09 × 10-19 J
Therefore, the energy of the photon being emitted is 3.09 × 10-19 J.