Question

plz answer with explanation.



If E1, E2 and E3 are the respective kinetic energies of an electron, an alpha particle
and a proton, each having the same de-Broglie wavelength, then
A) E,> E3> E2
C) Ei>E2> E3
B) E2> E3> E
D) Ei=E2=E3​

Answer 1

Answer:

$KE \: = \frac{1}{2} mu {}^{2} \: \: \: \gamma = \frac{h}{mu}$

$KE = \frac{1}{2} \frac{h {}^{2} }{m \gamma {}^{2} } = \frac{h {}^{2} }{2m \gamma {}^{2} }$

So lesser is the mass, higher is the kinetic enegy so order is

E1 > E3 > E2

Hope this helps u