1. Understand the Relationship
* Energy (E) and wavelength (λ) are inversely proportional, meaning as one increases, the other decreases. This relationship is described by the following equation:
E = hc/λ
where:
* E is the energy in joules (J)
* h is Planck's constant (6.626 x 10^-34 J·s)
* c is the speed of light in a vacuum (2.998 x 10^8 m/s)
* λ is the wavelength in meters (m)
2. Convert Wavelength to Meters
* 700 nm = 700 x 10^-9 m
3. Plug the Values into the Equation
* E = (6.626 x 10^-34 J·s) * (2.998 x 10^8 m/s) / (700 x 10^-9 m)
4. Calculate the Energy
* E ≈ 2.84 x 10^-19 J
Therefore, a photon with a wavelength of 700 nm has an energy of approximately 2.84 x 10^-19 joules.
