The ratio of de Broglie wavelength of an αparticle to that of a proton being subjected to the same magnetic field so that the radii of their path are equal to each other assuming 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
14
c
12
d
2
answer is C.
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Detailed Solution
When a charged particle (charge q, mass m) enters perpendicularly in a magnetic field (B) then, radius of the path described by itr=mvqB⇒mv=qBrAlso de-broglie wavelength λ=hmv ⇒λ=hqBr⇒λαλp=qprpqara=12