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Physics - Electrostatics Question with Solution | TestHub

PhysicsElectrostaticsElectric Field & ForceHard2 minPYQ_2019

PhysicsHardsingle choice

A positive point charge is released from rest at a distance $r_{0}$ from a positive line charge with uniform charge density. The speed $(v)$ of the point charge, as a function of instantaneous distance $r$ from line charge, is proportional to

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Answer:

Solution:

$\frac{1}{2} {mv}^{2} = q ∆ V$
$\frac{1}{2} {mv}^{2} = q \times \frac{λ}{2 {πε}_{0}} (\ln (\frac{r}{r_{0}}))$
$v^{2} = \frac{qλ}{{mπε}_{0}} (\ln (\frac{r}{r_{0}}))$
$v = \sqrt{\frac{qλ}{{mπε}_{0}} (\ln (\frac{r}{r_{0}}))}$

$v \propto \sqrt{\ln (\frac{r}{r_{0}})}$

Stream:JEESubject:PhysicsTopic:ElectrostaticsSubtopic:Electric Field & Force

⏱ 2mℹ️ Source: PYQ_2019

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