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 0.5m. The electrostatic force acting between the spheres is …………….× 10^-9N.

$\left[Given:4\pi {\epsilon }_0=\frac{1}{9\times 10^9}SIunit\right]$

<p>After contact, charges an each sphere will be</p><p><math><mrow><mfrac><mrow><msub><mrow><mi>q</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>+</mo><msub><mrow><mi>q</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><mn>2</mn></mrow></mfrac><mo>=</mo><mn>1</mn><mi>n</mi><mi>c</mi><mo>⇒</mo><mi>F</mi><mo>=</mo><mfrac><mrow><mi>k</mi><msub><mrow><mi>q</mi></mrow><mrow><mn>1</mn></mrow></msub><msub><mrow><mi>q</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac><mo>=</mo><mn>3</mn><mn>6</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>9</mn></mrow></msup><mi>N</mi></mrow></math></p>

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