A proton and an α - particle, having kinetic energies Kp and Kα respectively, enter into a magnetic field at right angles. The ratio of the radii of trajectory of proton to that of α - particle is 2 : 1. The ratio of Kp:Kα is:
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a
4 : 1
b
8 : 1
c
1 : 4
d
1 : 8
answer is A.
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Detailed Solution
Radius of a particle in the magnetic field is r=mvBq=2mKEBqKE=P22mGiven : rp;rα=2:1 then ⇒rprα=21=mpkpmαkα×qαqp=14kpkα×21⇒KpKα=41