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I want to know why while applying co nservation of mechanical energy we have taken...

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I want to know why while applying co nservation of mechanical energy we have taken the potential energy of th e final state but not of the initial stat e that should be kQe b Also How torque about nucleus is zero A nd how mv b mv r where does this relation comes from 106 Electrostatic Potential and Capacitance Example 8 Solution Board Competitive Exams Le An electron mass m charge e is moving towards a heavy nucleus of charge Q fixed at t place When the electron is far from the nucleus its speed is vo and the impact parameter is b What is the closest distance of the electron from the nucleus or 1 The path of the electron is shown r is distance of closest approach v is the speed at this Pasell instant Clearly v is perpendicular to radial distance The angular momentum of electron about the nucleus remains conserved as torque about nucleus is zero mvb mvr Also by conservation of mechanical energy mv my 2 Vob To 2Qe v 4TE mr 2 v 1 Q e v b v r 4 eo To 2Qe 4 E mr 2Qe 4 em 2Qe ro v b 0 4 m ro Vob 1 ii b V Boa B 4

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