`If `E_(1),E_(2)` and `E_(3)` represent respectively , the kinetic energies of an elctron an alpha particle and a proton each having same de Broglie wavelength , then

Options

A. ` E_1 gt E_3 gt E_2`
B. ` E_1 gt E_3 gt E_2`
C. ` E_1 gt E_3 gt E_2`
D. ` E_1 gt E_3 gt E_2`

Answer

A

Explanation

` KE = 1/2 mu^2`
and ` lambda = h/ ( jmu)`
` :. KE = 1/2 (m h^2) /(m^2 lambda^2 ) = h^2/( 2m lambda^2)`.