Two small spheres each of mass 10mg are suspended from a point by threads 0.5m long. They are equally charged and repel each other to a distance of 0.20m. The charge on each of the sphere is $\frac{a}{21}\times 10^{-8}C.$  The value of ‘a’ will be…….. [Given g = 10 ms^-2]

<p><math><mrow><mi>T</mi><mi>s</mi><mi>i</mi><mi>n</mi><mi>θ</mi><mo>=</mo><mfrac><mrow><mi>k</mi><msup><mrow><mi>q</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></p><p><math><mrow><mi>T</mi><mi>c</mi><mi>o</mi><mi>s</mi><mi>θ</mi><mo>=</mo><mi>m</mi><mi>g</mi></mrow></math></p><p><math><mrow><mi>t</mi><mi>a</mi><mi>n</mi><mi>θ</mi><mo>=</mo><mfrac><mrow><mi>k</mi><msup><mrow><mi>q</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow><mrow><mi>m</mi><mi>g</mi><msup><mrow><mi>r</mi></mrow><mrow><mn>2</mn></mrow></msup></mrow></mfrac></mrow></math></p><p>Using the above equation find the value of ‘q’</p>

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