Question

The emission spectrum of gold shows a line of wavelength 2.76x10^-7m. What is the corresponding frequency of this light? How much energy is emitted in production of this radiation?

Answer 1

The formula relating wavelength and frequency is:

f = c / ʎ

where f is frequency, c is speed of light = 3 x 10^8 m/s, and ʎ is wavelength of light = 2.76 x 10^-7 m

f = (3 x 10^8 m/s) / 2.76 x 10^-7 m

f = 1.09 x 10^15 s-

The energy can be calculated using the formula:

E = h f

where h is Planck’s constant = 6.626 x 10^-34 J s

E = (6.626 x 10^-34 J s) * 1.09 x 10^15 s-

E = 7.2 x 10^-19 J