Energy of UV radiation that has a wavelength of 2.278x10^-2 micrometers?

Question

What is the energy (in J/particle) of ultraviolet radiation that has a wavelength of 2.278 x 10 ^-2 micrometers?
The speed of light is 3.00 x 10^8 m/s.

Please show the steps or explain so I will understand how to do this. Thanks

I got it right! Answer = 8.73x10^-18

I multiplied Planck's constant = 6.626068 × 10-34 m2 kg / s
by 1.316944688 x 10^16

I got 1.316944688 x 10^16
by dividing 3.00 x 10^8 m/s
by 2.278 x 10 -8 m.

Answer 1

Use E = h nu where h = Planck's constant, nu = frequency.

To get frequency, use

frequency x wavelength = speed (for any wave) = c (for light)

Convert all distances to meters

This procedure gives you energy per photon, which is what you want. If you ever need energy per mole, just multiply that by Avogadro's number.

Over to you