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  • A proton is kept at rest. A positively charged particle is released from rest at a distance d in its field. Consider two experiments; one in which the charged particles is also a proton and in another, a positron.

A proton is kept at rest. A positively charged particle is released from rest at a distance d in its field. Consider two experiments; one in which the charged particles is also a proton and in another, a positron. In the same time t, the work done on the two moving charged particles is

a) same as the same force law is involved in the two experiments

b) less for the case of a positron, as the positron moves away more rapidly and the force on it weakens

c) more for the case of a positron, as the positron moves away a larger distance

d) same as the work done by charged particle on the stationary proton

Answers (1)

The answer is the option (c) more for the case of a positron, as the positron moves away a larger distance

The charges on a proton and a positron are same, but the mass of a positron is lesser than that of a proton. Hence, the force between a proton and a positron is the same as that between two protons. But, as the positron has a lower mass, it moves away through a larger amount of distance. The change in momentum remain equal for both cases, but the positron being of lighter weight moves a larger distance than a proton. Now, work done = force x distance. In our case, the forces are the same, but the positron travels a greater distance, and hence the work done in that case will be more.

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