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  4. Two identical conducting spheres with negligible volume have 2.1 nC and -0.1 nC charges, respectively. They are brought into contact and then separated by a distance of 0.5 m. The electrostatic force acting between the spheres is × 10-9 N [. Given: 4 π ε0=(1/9 × 109) SI unit ]

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Q. Two identical conducting spheres with negligible volume have $2.1 nC$ and $-0.1 nC$ charges, respectively. They are brought into contact and then separated by a distance of $0.5 m$. The electrostatic force acting between the spheres is _______ $\times 10^{-9} N$
$\left[\right.$ Given $: 4 \pi \varepsilon_{0}=\frac{1}{9 \times 10^{9}} SI$ unit $]$

JEE MainJEE Main 2021Electric Charges and Fields

Solution:

$q =\frac{(2.1-0.1)}{2} nC =1 nC$
$f =\frac{9 \times 10^{9} \times 10^{-18}}{(0.5)^{2}}$
$=36 \times 10^{-9}$