QJEEM21Ph3474: JEE Main 2021 Physics - Class 12 JEEM21Ph3474 Solution: What should be the order of arrangement of de-Broglie…

Question

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What should be the order of arrangement of de-Broglie wavelength of electron (

λ

_e), an

α

-particle (

λ

_a) and proton (

λ

_p) given that all have the same kinetic energy?

Accepted Answer

λ = \frac{h}{p} = \frac{h}{\sqrt{2 m E}} \propto \frac{1}{\sqrt{m}}

m_$α$ > m_p > m_e

So,

λ

_e >

λ

_p >

λ

_$α$

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