An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectories in the field? (a) Path of the electron is more curved than that of proton (b) They will travel undeflected (c) Path of the proton is more curved than that of the electron (d) Both the electron and the proton will move along the same curved path but they will move in opposite directions

Answer: (d). r = p/qB; electron and proton have the same p and same |q| = e. So both have the same radius, but opposite charges make them curve in opposite senses. So the answer is (d).

An electron and a proton having the same momenta enter… | MHT CET 2022 (11 Aug, Shift 2)

Q51MHT CET 2022 · 11 AUG · SHIFT 2Easy

Moving Charge in a Magnetic Field

An electron and a proton having the same momenta enter perpendicularly into a magnetic field. What are their trajectories in the field?

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Answer: (d)

$r = \frac{p}{qB}$ ; electron and proton have the same $p$ and same $|q| = e$ .
So both have the same radius, but opposite charges make them curve in opposite senses.
So the answer is (d).

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