Calculating the Energy of a Photon

Energy Calculation

Answer: 2.21 × 10^-18 Joules

Explanation: We are given the wavelength of a photon as 9 × 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 × 10^-34 J-s
• c is the speed of light: 2.998 × 10^8 m/s
• λ is the wavelength: 9 × 10^-8 m

Therefore, E = (6.626 × 10^-34 J-s × 2.998 × 10^8 m/s) ÷ 9 × 10^-8 m

Calculating, we get: E = 2.21 × 10^-18 Joules.

Thus, the energy of the photon is 2.21 × 10^-18 Joules.