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Equation to figure out the energy of a photon with a wavelength given?

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Final answer:

The energy of a photon can be calculated using the equation E = λc, where E is the energy, λ is the wavelength, and c is the speed of light. To find the energy of a photon, substitute the given wavelength into the equation and solve for E.

Step-by-step explanation:

The energy of a photon can be calculated using the equation E = λc, where E is the energy, λ is the wavelength, and c is the speed of light. Planck's constant, h, is also a necessary value for this calculation. To find the energy of a photon, you can substitute the given wavelength into the equation and solve for E. Here's an example:

Let's say we have a red photon with a wavelength of 630 nm. First, convert the wavelength to meters by dividing by 10^9: 630 nm = 630 x 10^(-9) m. Then, use the formula E = λc to find the energy:

E = (630 x 10^(-9) m)(3 x 10^8 m/s) = 1.89 x 10^(-19) J.

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