12th Class Physics Photo Electric Effect, X- Rays & Matter Waves Question Bank Dual Nature of Radiation and Matter Conceptual Problems

  • question_answer
    Radiations of frequency 1015 Hz are incident on two photo-sensitive surfaces P and Q. Following observations are made : (i) Surface P: Photo-emission occurs but the photo- electrons have zero kinetic energy, and (ii) Surface Q; Photo-emission occurs and photo- electrons have some kinetic energy. Which of these has a higher work function? If the incident frequency is slightly reduced, what will happen to photo-electron emission in the two cases?         

    Answer:

                    By Einstein's photo-electric equation, \[{{W}_{0}}=hv-{{K}_{\max }}\] For surface P, the photo-electrons have zero kinetic energy while for surface \[\text{Q}\], the photo-electrons have some kinetic energy. It follows from the above equation that the surface P has a higher work function \[{{W}_{0}}\] than the surface \[\text{Q}\]. If the incident frequency v is slightly reduced, the energy of the incident photon will become less than the work function \[{{\text{W}}_{0}}\] of the surface P. There will be no photo-electric emission from surface P. In case of surface \[Q\] the kinetic energy of photo-electrons will decrease.


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