1.

X-rays fall on a photosensitive surface to cause photoelectric emission. Assuming that the work function of the surface can be neglected, find the relation between the de-Broglie wavelength (lambda) of the electrons emitted to the energy (E_(v)) of the incident photons. Draw the nature of the graph for lambda as a function of E_(v).

Answer»

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Solution :`E_(V)=phi_(0)+K_("MAX")`
As`phi_(0)=0`
`implies E_(v)=K_("max")`
`implies K_("max")=(p^(2))/(2m)=E_(v)`
`implies p=sqrt(2mE_(v))`
`:.` Wavelength `(lambda)` of emitted electrons ,
`lambda=(h)/(p)=(h)/(sqrt(2mE_(v)))`


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