Orange light has a wavelength of 585 nm. calculate the frequency and energy of the orange light.

3.4 x 10⁻¹⁹J

Explanation:

Given parameters:

   Wavelength  = 585nm

Unknown:

 Frequency and energy of the wave = ?

Solution:

The frequency of the wave can be derived from;

        C = f x wavelength

c is the speed of light  = 3 x 10⁸m/s

f is the frequency

  Insert the parameters and solve;

         3 x 10⁸  = f x 585 x 10⁻⁹

          f =

       f  = 5.13 x 10⁻³ x 10¹⁷   = 5.13 x 10¹⁴m⁻¹

the energy of the wave;

   E = hf

 h is the planck's constant;

  E = 6.63 x 10⁻³⁴ x 5.13 x 10¹⁴   = 34.01  x 10⁻²⁰J or 3.4 x 10⁻¹⁹J