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A proton, a neutron, an electron and an α-particle have same energy. If λₚ, λₙ, λₑ and λ_α are the de Broglie's wavelengths of proton, neutron, electron and α particle respectively, then choose the correct relation from the following

Asked in JEE Main 25th June 2nd Shift 2022 · Same or changed energy

Answer: (2) λ_α<λₙ<λₚ<λₑ

Step-by-step solution

At equal energy, λ=h/(√2mE)∝1/(√m).

Masses run mₑ mₚ<mₙ<m_α.

So the wavelengths run the other way: λ_α<λₙ<λₚ<λₑ.

Why the other options are wrong

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