Question

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

Answer 1

3.4 x 10⁻¹⁹J

Step-by-step 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 =
`(3 x 10^(8) )/(585 x 10^(-9) )`

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