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.