Calculate the energy of the photon corresponding to the line appearing at a wavelength of 434 nm. Show all your working and give your final answer in eV.

Sure, here's how you can calculate the energy of the photon:

Step 1: Convert the wavelength from nanometers to meters.

1 nm = 1 x 10^-9 m

So, 434 nm = 434 x 10^-9 m

Step 2: Use the formula for the energy of a photon, which is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength.

h = 6.626 x 10^-34 J.s (Joule second) c = 3.00 x 10^8 m/s (meters per second)

Substitute these values into the formula:

E = (6.626 x 10^-34 J.s * 3.00 x 10^8 m/s) / (434 x 10^-9 m)

Step 3: Calculate the energy in Joules.

E = 4.57 x 10^-19 J

Step 4: Convert the energy from Joules to electron volts (eV).

1 eV = 1.602 x 10^-19 J

So, E = 4.57 x 10^-19 J / 1.602 x 10^-19 J/eV = 2.85 eV

So, the energy of the photon corresponding to the line appearing at a wavelength of 434 nm is approximately 2.85 eV.