1.

A stream of electrons from a heated filament was passed between two charged plates kept at a potential difference of V esu. If e and m are charge and mass of the electron respectively, then the value of h//lamda (where lamda is the wavelength associated with the electron wave) is given by

Answer»

`me V`
`2 me V`
`SQRT(me V)`
`sqrt(2 meV)`

Solution :`LAMDA = (h)/(p) or (h)/(lamda) = p = MV`
`KE = (1)/(2)mv^(2)` so that `v = sqrt((2KE)/(m)) " But " KE = eV`
`:. v = sqrt((2EV)/(m)) :. (h)/(lamda) = mv = m sqrt((2eV)/(m)) = sqrt(2meV)`


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