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Question

Question: If E<sub>1</sub>,E<sub>2</sub> and E<sub>3</sub> represent respectively the kinetic energies of an e...

If E1,E2 and E3 represent respectively the kinetic energies of an electron, α particle and a proton, each having same de Broglie's wave length then

A

E1> E3> E2

B

E2> E3> E1

C

E1> E2> E3

D

E1 = E2 = E3

Answer

E1> E3> E2

Explanation

Solution

K.E. = 1/2 mv2, λ = hmv\frac{h}{mv}

∴ K.E. = 1/2 m h2(mλ)2=h22mλ2\frac{h^{2}}{(m\lambda)^{2}} = \frac{h^{2}}{2m\lambda^{2}}