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 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)


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