A particle of mass \( m \), charge \( q0 \) and initial kinetic ene...

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A particle of mass \( m \), charge \( q0 \) and initial kinetic energy \( \mathrm{K} \) is projected from infinity towards a heavy nucleus of charge \( Q \) assumed to have a fixed position.
(a) If the aim is perfect, how close to the centre of the nucleus is the particle when it comes instantaneously to rest?
(b) With a particular imperfect aim, the particle's closest approach to nucleus is twice the distance determined in (a). Determine speed of particle at the closest distance of approach.
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