Question

an electron and a Proton with equal Momentum enter into a uniform magnetic field then​

Answer 1

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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