The ratio of de·Brogfie wavelength of an α particle to that of a proton being subjected to the same magnetic field so that the radii of their paths are equal to each other. assuming that the field induction vector B is perpendicular to the velocity vectors of the α$$-particle$$ and the proton. is

Question

The ratio of de·Brogfie wavelength of an α particle to that of a proton being subjected to the same magnetic field so that the radii of their paths are equal to each other. assuming that the field induction vector B is perpendicular to the velocity vectors of the α$$-particle$$ and the proton. is

Infinity Learn · Accepted Answer

when a charged particle moves perpendicular to a magnetic field force qvB $$=mv2r$$     and $$r=$$ mvqB $$=pqB$$     so   $$p=$$ qBr     and de Broglie  wavelength λ$$=hqBr$$ here B and r are same so λ∞$$1$$ q   λαλ$$P=$$ qPqα$$=12$$

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The ratio of de·Brogfie wavelength of an α particle to that of a proton being subjected to the same magnetic field so that the radii of their paths are equal to each other. assuming that the field induction vector B is perpendicular to the velocity vectors of the α-particle and the proton. is

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