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Tance Board & Competitive Exams (Level-1)Two fixed solid spheres of charges Q and KQ are separated by a distance 6R. A charge - is to be projectedalong the line joining their centres, so that it can reach the surface of other solid sphere of charge kQ.koR2R0 ifk = 4, find minimum velocity to be given.(ii) If we do not want to give any velocity, what should be the minimum value of k? |
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Answer» hat,Radius of small sphere = RCharge of small sphere= QRadius of big sphere = 2RCharge of big sphere= kQProjected CHARGE = -qThe force with which a charge -Q is attracted towards the charge kQ from the surface of radius R having charge Q.(i). If k = 4We need to CALCULATE the minimum velocityUsing formula of electrostatic forcePut the value INRO the formulaPut the value of kWe need to calculate the timeUsing equation of motionPut the value into the formulaWe need to calculate the minimum velocityUsing equation of motionPut the value into the formula(ii). If we do not want to give any velocity,When there is no velocity it means ACCELERATION will be zero.We need to calculate the minimum value of kUsing equation (I) ...(i)Here, a = 0Then, the value of k Hence, (i). The minimum velocity is .(ii). The minimum value of k is 25. |
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