A positive point charge is released from rest at a distance r_0 from a positive line charge with uniform density. The speed (v) of the

Q: A positive point charge is released from rest at a distance $r_0$ from a positive line charge with uniform density. The speed $(v)$ of the point charge, as a function of instantaneous distance $r$ from line charge, is proportional to

c $\frac{1}{2} m V^{2}=-q\left(V_{f}-V_{i}\right)$ $E = \frac{\lambda }{{2\pi {\varepsilon _0}r}}$ $\Delta \mathrm{V}=\frac{\lambda}{2 \pi \varepsilon_{0}} \ln \left(\frac{\mathrm{r}_{0}}{\mathrm{r}}\right)$ $\frac{1}{2} m v^{2}=\frac{-q \lambda}{2 \pi \varepsilon_{0}} \ln \left(\frac{r_{0}}{r}\right)$ $v \propto \sqrt{\ln \left(\frac{r}{r_{0}}\right)}$

SECTION - A [PHYSICS - MCQ]

GSEB - English Medium

A positive point charge is released from rest at a distance $r_0$ from a positive line charge with uniform density. The speed $(v)$ of the point charge, as a function of instantaneous distance $r$ from line charge, is proportional to

A$v \propto {e^{ + r/{r_0}}}$
B$v \propto \ln \left( {\frac{r}{{{r_0}}}} \right)$
C$v \propto \sqrt {\ln \left( {\frac{r}{{{r_0}}}} \right)} $
D$v \propto \left( {\frac{r}{{{r_0}}}} \right)$

JEE MAIN 2019, Diffcult

STD 11 Science
NEET
STD 12 - 2. Electric potential and capacitance
Physics

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