Q.

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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a

1

b

12

c

14

d

2

answer is B.

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Detailed Solution

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   λαλP= 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