An electron and a proton of equal linear momentum enter in the direction perpendicular to uniform magnetic field. If the radii of their circular paths be re and rp, respectively, then rrrp is equal to me= mass of electron, mp= mass of proton.
A
(mpme)1/2
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B
mpme
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C
(memp)1/2
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D
1
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Solution
The correct option is D1 Given, linear momentum of electron = linear momentum of proton or McVc=MpVp The radius of circular path is r=mvqB For an electron the radius of circular path is rp=meveqB For a proton the radius of circular path is rp=mpvpqB Hence, rerp=1