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Two identical particles each of mass M and charge Q are placed some distance apart. If they are in equilibrium under mutual gravitational and electric force then calculate the order of Q/M in SI system
electric force depend upon the amount of charge not masslet both particle are r distance apartelectric force is equal to =kQQ/r^2gravitational force is equal to=GMM/r^2if both are equilibrium thenkQQ/r^2=GMM/r^2Q^2/M^2=G/khere G=6.67x10^-11k=9x10^9 Nm^2/C^2so G/k=6x10^-11/9x10^92/3x10^-20Q/M=(2/3)^1/2 x10^-10 Â
repulsive electrostatic force: Â Â F1=kQ^2/r^2 Â Â Â Â Â Â Â Â Â Â Â Â Â attractive gravitational force:Â F2=Gm^2/r^2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â for equilibrium :F1=F2kQ2/r2=Gm2/r2=> Q/m = (6.6*10^-11/9*10^9)1/2=> Q/m=0.8*10-10Hence, ORDER OF Q/m=10-10
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