Wavelengths of different radiations are given below :
λ(A) = 300 nm
λ(B) = 300 μm
λ(c) = 3 nm
λ (D) 30 A°
Arrange these radiations in the increasing order of their energies.
According to Planck’s quantum theory, energy is related to the frequency of radiation by :
E = h × Frequency
So, E is proportional to 1/ λ
Hence, the relation b/w energy and wavelength are inversely proportional, therefore lesser the wavelength higher will be the energy of the radiation.
For the given wavelengths
λ(A) = 300 nm = 300 x 10-9 m = 3 x 10 -7 m
λ(B) = 300 μm = 3 00 x 10-6 = 3 x 10-4
λ(c) = 3 nm = 3 x 10 – 9
λ (D) 30 A° = 3 X 10 – 9
the increasing order of the given wavelengths : λ(c) = λ (D) <λ(A)< λ(B)
hence the increasing order of energy will be the opposite: λ(B)< λ(A:<λ(c) = λ (D)