Calculating the Energy of a Photon
Energy Calculation
Answer: 2.21 Ã 10^-18 Joules
Explanation: We are given the wavelength of a photon as 9 Ã 10^-8 m. We are required to calculate the energy of the wave.
Energy of a photon is given by the formula: E = hf, but f = c/λ. Thus, E = hc/λ where:
- h is the Planck's constant: 6.626 Ã 10^-34 J-s
- c is the speed of light: 2.998 Ã 10^8 m/s
- λ is the wavelength: 9 à 10^-8 m
Therefore, E = (6.626 à 10^-34 J-s à 2.998 à 10^8 m/s) ÷ 9 à 10^-8 m
Calculating, we get: E = 2.21 Ã 10^-18 Joules.
Thus, the energy of the photon is 2.21 Ã 10^-18 Joules.