electron and alpha particle are accelerated through same potential difference enter at 90° then ratio of their radii is
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α particle will be helium nucleus of
charge 2e and mass 4u
Proton will be hydrogen of
charge 1e and mass 1u
Radius of circle of charged particle in magnetic field will be
r=
qB
mv
By Lorentz force,
Radius=
charge×magneticfield
momentum
We know that radius is inversely proportional to charge
So Radius of alpha particle will be half of radius of proton
Hence ratio of Radii =1:2
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