question

(a) plot a graph showing the variation of de broglie wavelength  associated with a  charged particle of mass m, versus , where  v is the accelerating potential.

(b)   an electron, a proton and an alpha particle have the same kinetic energy. which one has the shortest wavelength?

 

 

 

 

 

 

 

 

the relation between de broglie wavelength and potential is given by

so the graph is as follows

(b)

therefore, now since the electron has the lowest mass, so,for an electron is maximum followed by proton then alpha particle.