What is the wavelength of a photon with an energy of 3.38 𝑥x 10-19 J?A.460 nmB.416 nmC.588 nmD.510 nm

To find the wavelength of a photon, we can use the equation that relates energy (E), wavelength (λ), and the speed of light (c):

E = hc/λ

where:

• E is the energy of the photon,
• h is Planck's constant (6.63 x 10^-34 J*s),
• c is the speed of light (3.00 x 10^8 m/s),
• λ is the wavelength we want to find.

We can rearrange this equation to solve for λ:

λ = hc/E

Substituting the given values:

λ = (6.63 x 10^-34 J*s * 3.00 x 10^8 m/s) / 3.38 x 10^-19 J

Solving this equation will give us the wavelength in meters. To convert to nanometers (nm), we multiply by 10^9.

After calculating, we can compare the result with the options given to find the correct answer.