A particle of charge $-q$ and mass $m$ moves in a circle of radius $r$ around an infinitely long line charge of linear density $+\lambda$. Then time period will be given as
(Consider $k$ as Coulomb's constant)
A particle of charge $-q$ and mass $m$ moves in a circle of radius $r$ around an infinitely long line charge of linear density $+\lambda$. Then time period will be given as
(Consider $k$ as Coulomb's constant)
- [JEE MAIN 2024]
- A
$\mathrm{T}^2=\frac{4 \pi^2 \mathrm{~m}}{2 \mathrm{k} \lambda \mathrm{q}} \mathrm{r}^3$
- B
$T=2 \pi r \sqrt{\frac{m}{2 k \lambda q}}$
- C
$\mathrm{T}=\frac{1}{2 \pi \mathrm{r}} \sqrt{\frac{\mathrm{m}}{2 \mathrm{k} \lambda \mathrm{q}}}$
- D
$\mathrm{T}=\frac{1}{2 \pi} \sqrt{\frac{2 \mathrm{k} \lambda \mathrm{q}}{\mathrm{m}}}$
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- [AIPMT 2010]
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