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STD 12 - 1. Electric charges and fields — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 - 1. Electric charges and fields4 Marks
Question
Two identically charged pith balls are suspended from the some point by two massless identical threads density of each ball is $\rho $. If system is immersed in a medium of density $\sigma $, balls remain undeflected, then the dielectric constant of medium is
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Answer

$\mathrm{T} \sin \theta=\mathrm{F}_{\mathrm{o}}$

$\mathrm{T} \cos \theta=\mathrm{mg}$

$\tan \theta=\frac{F_{0}}{m g}$

$\mathrm{F}_{0}=\operatorname{mg} \tan \theta$          ..........$(i)$

In medium

$\frac{\mathrm{F}_{0}}{\mathrm{K}}=\operatorname{mg}\left(1-\frac{\sigma}{\rho}\right) \tan \theta $                 ...........$(ii)$

from $(i)$ and $(ii)$

$\mathrm{K}=\frac{\rho}{\rho-\sigma}$

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