Answer: λ = 4.42 × 10^-7 metres
Step-by-step explanation:
The emitting radiation energy is the change in energy dE. Where
dE = 4.5×10^-19J
Planck's constant h = 6.63*10^-34Js,
Speed of light C = 3×10^8
The wavelength(λ) of the radiation can be calculated by using the formula
(λ) = hC/dE
Substitute all the parameters into the formula above
(λ) = (6.63×10^-34 × 3×10^8)/4.5×10^-19
(λ) = 1.989^-25/4.5×10^-19
(λ) = 4.42×10^-7 m
Therefore, the wavelength (λ) of the radiation is 4.42 × 10^-7 metres