Describe applications of Quantum theory.

Application of Quantum theory:
(i) In 1905, Einstein applied this theory to explain the photoelectric effect.
(ii) In 1913, N. Bohr used this theory to explain the structure of atoms and explain hydrogen spectra.
(iii) In 1922, this theory was used to explain Compton effect.

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In astronomical observations, signals observed from the distant starts are generally weak. If the photon detector receives a total of 3.15 x 10-18 J from the radiations of 600 nm, calculate the number of photons received by the detector.

Energy (E) of one photon = hv =             ...(1)
Here 
    
Substituting the values  in eq. (1), we have
  

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A 100 watt bulb emits monochromatic light of wavelength 400 nm. Calculate the number of photons emitted per second by the bulb.


Power of the bulb = 100 watt
                          = 100 Js-1
Energy of one photon E = hv = 

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Calcualte the energy of one mole of photons of radiation whose frequency is 5 x 1014Hz.


Energy (E) of one photon = hv
Here,    h = 6.626 x  10-34 Js
            v = 5 x 1014 s-1

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If the energy difference between two electronic states is 214 .68 kJ mol-1, calculate the frequency of light emitted when an electron drops from higher to lower state. (Planck's constant h = 39. 79 x 10-14 k Js mol-1)

Here,    
According to Planck's quantum theory,
                    
                 ....(1)
Substituting the value in (1),
                       

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