(a) An electron and a proton are accelerated through the same potential. Which one of the two has
(i) greater value of de-Broglie wavelength associated with it, and
(ii) lesser momentum? Justify your answer in each case.
(b) How is the momentum of a particle related with its de-Broglie wavelength? Show the variation on a graph.
(a) We know the de-Broglie wavelength,
Since, (For any other variable constant)
therefore,
(ii) We know , momentum
Hence, the momentum of the electron is less than the momentum of the proton.
(b) The relation between momentum and De-Broglie wavelength is given as;
Where
momentum
wavelength
planks constant.
Hence, the graph between and
is given as ;