A charged spherical drop of mercury is in equilibrium in a plane horizontal air capacitor and intens

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1. Electric Charges and Fields

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A charged spherical drop of mercury is in equilibrium in a plane horizontal air capacitor and the intensity of the electric field is $6 × 10^4 $ $Vm^{-1}$. The charge on the drop is $8 × 10^{-18}$ $C$. The radius of the drop is $\left[ {{\rho _{air}} = 1.29\,kg/{m^3};{\rho _{Hg}} = 13.6 \times {{10}^3}kg/{m^3}} \right]$

A

$0.95 × 10^{-8}$ $m$

B

$2.7 × 10^{-10}$ $m$

C

$2.7 × 10^{-8}$ $m$

D

$0.95 × 10^{-6}$ $m$

Solution

$\frac{4}{3} \pi r^{3}\left(\rho_{\mathrm{Hg}}\right) g=q \mathrm{E}$

Standard 12

Physics

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