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(a) State briefly, with what purpose was Davisson and Germer experiment performed and what inference was drawn from this. (b) Obtain an expression for the ratio of the accelerating potentials required to accelerate a proton and an alpha-particle to have the samede-Broglie wavelength associated with them. |
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Answer» SOLUTION :(a) Davisson and Germer experiment was performed to check the wave nature of electrons and to VERIFY de-Broglie.s formula for wavelength of electron waves. Davisson and Germer were able to demonstrate diffraction of electron waves and measured their wavelength. the experimentally determined VALUE of electron.s wavelength was found to be in close agreement with the ANSWER obtained as per de-Broglie relation. hence, wave nature of electrons was conclusively proved. (b) In terms of accelerating potential V, the de-Broglie wavelength of a particle of charge q and mass m is given as `LAMDA=(h)/(sqrt(2mqV))` As per question `lamda_("proton")=lamda_(alpha-"particle")` `implies m_(p)q_(p)V_(p)=m_(alpha)q_(alpha)V_(alpha)` `implies (V_(p))/(V_(alpha))=(m_(alpha))/(m_(p))*(q_(alpha))/(q_(p))=4xx2=8implies V_(p)=8V_(alpha)` |
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