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Posted by on Tuesday, September 28, 2010 at 9:20pm.

An electron and a proton move in circular orbits in a plane perpendicular to a uniform magnetic field B.

Find the ratio of the radii of their circular orbits when the electron and the proton have the same momentum.

Find the ratio of the radii of their circular orbits when the electron and the proton have the same kinetic energy.

  • Physics - , Tuesday, September 28, 2010 at 9:27pm

    centripetal force=mv^2/r

    electron centripetal force=protoncentripetal force.

    me*ve^2/re=mp*vp^2/rp

    re/rp=me/mp * Ve/vp * Ve/Vp

    but if they have the same momentum, then
    meve/mpvp=1 so
    re/rp=Ve/Vp

    You do the energy.

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