Answer:
The wavelength of a photon with an energy of 4.56×10⁻¹⁹ J is 463nm (nanometer)
Define the wavelength of a photon.
Each photon has a wavelength and a frequency. The wavelength is defined as the distance between two peaks of the electric field with the same vector.
A photon is the smallest element of electromagnetic radiation. You can think of a photon as a packet of energy travelling at the speed of light. There is no constant wavelength of a photon, it is dependent on how much energy the photon carries.
The mathematical relationship can be written as
E=hc/ λ
In terms of wavelength,
λ=hc/E
- h is planks constant
- c is the speed of light
- E is the energy of the photon
Where h = 6.626×10⁻³⁴ J⋅s is Planck’s constant and c = 3×10⁸ m/s is the speed of light.
If E = 4.56×10⁻¹⁹ J then λ = 463nm (nano meter)
Hence, the wavelength of a photon with an energy of 4.56×10⁻¹⁹ J is 463nm(nanometer)