COMEDK · Physics · 17. Electrostatics
Figure shows three arrangements of electric field lines. In each arrangement, a proton is released from rest at point \(\mathrm{P}\) and then accelerated through point \(\mathrm{Q}\) by the electric field. Points \(\mathrm{P}\) and \(\mathrm{Q}\) have equal separations in the three arrangements. If \(p_1 p_2\) and \(p_3\) are linear momentum of the proton at point \(\mathrm{Q}\) in the three arrangement respectively, then
- A \(p_3>p_2>p_1\)
- B \(p_1< p_2=p_3\)
- C \(p_1=p_2=p_3\)
- D \(p_1< p_2>p_3\)
Answer & Solution
Correct Answer
(A) \(p_3>p_2>p_1\)
Step-by-step Solution
Detailed explanation
The work done by the electric field on a proton moving from point P to point Q is given by \(W = \int_{P}^{Q} \vec{F} \cdot d\vec{r} = q \int_{P}^{Q} \vec{E} \cdot d\vec{r}\). By the work-energy theorem, the change in kinetic energy is equal to the work done, so…
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