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Energy Levels

If electron, ...

Question

If electron, proton and alpha particle have the same wavelength and kinetic energies , and , then the order of their kinetic energies $E_{1}, E_{2} a n d E_{3}$ , then the order of their kinetic energies is given by :

A

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B

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C

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D

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Solution

The correct option is B
$λ = \frac{h}{\sqrt{2 m E}} \Rightarrow m α \frac{1}{E}$
Hence, alpha particle has the least energy due to highest mass and electron has maximum energy due to least mass.

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