How to Calculate the Wavelength of a Photon

09 Dec 2023

What is the wavelength of a photon if the energy is 7.69 × 10^-18 J? (h = 6.626 × 10^-34 J•s)

a) 3.12 × 10^-7 m

b) 4.51 × 10^-7 m

c) 2.98 × 10^-7 m

d) 5.76 × 10^-7 m

The wavelength of a photon can be determined using the equation: wavelength = Planck's constant * speed of light / Energy.

To determine the wavelength of a photon, we can use the equation:

Energy (J) = Planck's constant (J.s) * speed of light (m/s) / wavelength (m)

First, rearrange the equation to solve for wavelength:

Wavelength = Planck's constant * speed of light / Energy

Substituting the given values:

Wavelength = (6.626 × 10^-34 J.s) * (3.00 × 10^8 m/s) / (7.69 × 10^-18 J)

Calculating the value, we find that the wavelength is approximately 8.62 × 10^-7 m.