A photon has a wavelength of 350 nm. Calculate the energy of the photon in joules

E = hc/wavelength.

To calculate the energy of a photon, you can use the equation:

E = h * c / λ

where:
E is the energy of the photon,
h is Planck's constant (6.62607015 × 10^-34 J·s),
c is the speed of light in a vacuum (2.998 × 10^8 m/s),
and λ is the wavelength of the photon.

Now, let's plug in the values:

λ = 350 nm = 350 × 10^-9 m
h = 6.62607015 × 10^-34 J·s
c = 2.998 × 10^8 m/s

E = (6.62607015 × 10^-34 J·s * 2.998 × 10^8 m/s) / (350 × 10^-9 m)

Let's solve this equation step by step:

E = (1.9875385317 × 10^-25 J·m) / (350 × 10^-9 m)

Next, let's simplify by canceling out units:

E = (1.9875385317 × 10^-25) / (350 × 10^-9) J

E = 5.678653806 × 10^-17 J

Therefore, the energy of the photon with a wavelength of 350 nm is approximately 5.68 × 10^-17 Joules.