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Q.

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

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