If the de Broglie wavelengths associated with a proton and an α-particle are equal, then the ratio of velocities of the proton and the α-particle will be:

(C) 4 : 1. λ = (h)/(mv). Equal wavelengths mean equal momenta, so (v_p)/(v_α) = (m_α)/(m_p) = (4)/(1)

Dual Nature of Radiation and Matter question for JEE Main (JEE Main 2018 (15 Apr, Shift 2)), with solution

Q 12-11-172JEE MainJEE Main 2018 (15 Apr, Shift 2)Easy

If the de Broglie wavelengths associated with a proton and an $\alpha$-particle are equal, then the ratio of velocities of the proton and the $\alpha$-particle will be:

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Dual Nature of Radiation and Matter question for JEE Main (JEE Main 2018 (15 Apr, Shift 2)), with solution

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