Modern Physics 2 Question 28

27. A silver sphere of radius 1cm and work function 4.7eV is suspended from an insulating thread in free-space. It is under continuous illumination of 200nm wavelength light. As photoelectrons are emitted, the sphere gets charged and acquires a potential. The maximum number of photoelectrons emitted from the sphere is A×10Z (where 1<A<10 ). The value of Z is

(2011)

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Solution:

  1. Photo emission will stop when potential on silver sphere becomes equal to the stopping potential.

hcλW=eV0 Here, V0=14πε0zer1240200eV(4.7eV)=9×109×n×1.6×1019102(6.24.7)=9×109×n×1.6×1019102 or z=1.5×1029×1.6×1010=1.04×107

Answer is 7 .



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