A proton and an a-particle have the same de-Broglie wavelength

cbse
dual-nature

#1

A proton and an a-particle have the same de-Broglie wavelength. Determine the ratio of
(i) their accelerating potentials
(ii) their speeds.


#2

(i) The de-Broglie wavelength of a particle is given

[where,V is the accelerating potential of the particle]

(ii) The de-Broglie wavelength of a particle is given
λ = h / mv
${ λ }{ p }$ = h / mp . vp and
${ λ }
{ ∝ }$ = h / ${ m }_{ ∝ }$

${ v }_{ ∝ }$