Respuesta :

Answer:

2.21 x 10⁻⁷m⁻¹

Explanation:

Given parameters:

Energy of the photon = 9.02 x 10⁻¹⁹J

Unknown:

Wavelength of the photon = ?

Solution;

The wavelength and energy of a photon are related using the expression below;

       E = [tex]\frac{hc}{wavelength}[/tex]

h is the Planck's constant  = 6.63 x 10⁻⁴m²kg/s²

c is the speed of light

E is the energy

   h c = E x wavelength

   Wavelength = [tex]\frac{hc}{E}[/tex]   = [tex]\frac{6.63 x 10^{-34} x 3 x 10^{8} }{9.02 x 10^{-19} }[/tex]  

   Wavelength = 2.21 x 10⁻⁷m⁻¹