an electron and a Proton with equal Momentum enter into a uniform magnetic field then
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an electron and a Proton with equal Momentum enter into a uniform magnetic field then
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An electron and a proton, having equal momentum, enter a uniform magnetic field at right angles to the field lines. What will be the ratio of their trajectories?
Momentum of both electron and proton are equal. - (Given)
Then , P = mv is (constant).
We know that,
F = q v B sin θ.
(Here , F - force, q - charge, v - velocity, B - magnetic field)
This force provides the required centripetal force for the motion along circular path whose radius is r.
Centripetal force = mv2r
Then,
mv2r=qvBsinθ
Here, θ = 90 degrees .
Then,
r=mvBq=1:1
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