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Question

Two identical particles each of mass M and charge Q are placed a certain distance part. If they are in equilibrium under mutual gravitational and electric force then calculate the order of QM in SI units.

Solution
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As the given system of charges are in equilibrium,

hence Fe=Fg

Fe is the electric force between the charges which is

repelling them while Fg is the gravitational force of attraction.

ie. KQ2R2=GM2R2

or , KQ2=GM2

or , (QM)2=(GK)

or , QM=(GK)12

as G = 6.67×1011Nm2/Kg2

and K = 9×109Nm2/C2

(QM)2=(6.67×1011)(9×109)

or QM=[0.7411×10(11+9)]12

or QM=(0.7411×1020)12

we get QM=0.86×1010 c / kg

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