QJEEM22Phfcbe: JEE Main 2022 Physics - Class 12 JEEM22Phfcbe Solution: A proton, a neutron, an electron and an α particle have same…

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QJEEM22Phfcbe: JEE Main 2022 Physics - Class 12 JEEM22Phfcbe Solution: A proton, a neutron, an electron and an α particle have same…

A proton, a neutron, an electron and an $α$ particle have same energy. If $λ$ _p, $λ$ _n, $λ$ _e and $λ$ _a are the de Broglie's wavelengths of proton, neutron, electron and $α$ particle respectively, then choose the correct relation from the following :

Multiple Choice Options

A λp = λn > λe > λa
B λa < λn < λp < λe
C λe < λp = λn > λa
D λe = λp = λn = λa

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Accepted Answer

λ = \frac{h}{p} = \frac{h}{\sqrt{(2 m K E)}}

\lambda \propto \frac{1}{\sqrt{m}}

as all the particles have same KE.

Since

m_e &lt; m_p &lt; m_{\mathrm{n}} &lt; m_\alpha

λ_{e} > λ_{p} > λ_{n} > λ_{α}

QJEEM22Phfcbe: JEE Main 2022 Physics - Class 12 JEEM22Phfcbe Solution: A proton, a neutron, an electron and an α particle have same…

Multiple Choice Options

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