q વિદ્યુતભાર ધરાવતા બે ધન આયનો વચ્ચેનું અંતર | vedclass

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Question

According to Coulomb's law, the force of repulsion between the two positive ions each of charge $q$ separated by a distance $d$ is given by

$F

Vedclass · Accepted Answer

$\sqrt {\;\frac{{4\pi {\varepsilon _0}F{d^2}}}{{{e^2}}}} $

Vedclass · Answer

According to Coulomb's law, the force of repulsion between the two positive ions each of charge $q$ separated by a distance $d$ is given by

$F =\frac{1}{4 \pi \varepsilon_{0}} \frac{(q)(q)}{d^{2}} $

$F =\frac{q^{2}}{4 \pi \varepsilon_{0} d^{2}}$

$q^{2} =4 \pi \varepsilon_{0} F d^{2} $

$q =\sqrt{4 \pi \varepsilon_{0} F d^{2}}..........(i)$

Since, $q=ne$

where,

$n=$ number of electrons missing from each ion

$e=$ magnitude of charge on electron

$	herefore n = \frac{q}{e}$

$n = \frac{{\sqrt {4\pi {\varepsilon _0}F{d^2}} }}{e}$      (Using $(i)$)

$=\sqrt{\frac{4 \pi \varepsilon_{0} F d^{2}}{e^{2}}}$

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