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