In which of the following cases the havier of the two particles has a smaller de-Broglie wavelength ? The two particles

Options

A. move with the same speed
B. move with the same linear momentum
C. move with the same kinetic energy
D. have the same change of potential energy in a conservative field

Answer

A, C

Explanation

`lambda = (h)/(p) = (h)/(mv) = (h)/(sqrt2Km)`
`lambda prop(1)/(m) (if v is same)
`lambda prop (1)/(sqrtm) (if K is same)
If change in potential energy is same, then change
in kinetic energy is also same. But , this does not
mean the kinetic energy is same.