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A proton and an $α$ –particle are accelerated from rest to the same energy. The de Broglie wavelengths $λ_{p}$ and $λ_{α}$ are in the ratio,

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Correct option is B

As λ=hp=h2mKE∴λ∝1m (Kinetic energies are same) λpλα=mαmp λpλα=4 mpmp ∴λpλα=21

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A proton and an α–particle are accelerated from rest to the same energy. The de Broglie wavelengths λp and λα are in the ratio,

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A proton and an $α$ –particle are accelerated from rest to the same energy. The de Broglie wavelengths $λ_{p}$ and $λ_{α}$ are in the ratio,