A particle m charge and initial kinetic energy k is projecyed from infinity towards a heavy nucleus of charge q assumed to have fixed position how vlose will it comes to rest
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Initial kinetic energy =K
Initial potential energy =0
Therefore the total energy = K
When is come to rest instantaneously near the nucleous its total energy is in the form of potential energy =1/4πε Qq/r
Where r is the nearest distance of approach between the particle and heavy nucleous
K=1/4πε Qq/r
or,
r =1/4πε Qq/K
ε
Initial potential energy =0
Therefore the total energy = K
When is come to rest instantaneously near the nucleous its total energy is in the form of potential energy =1/4πε Qq/r
Where r is the nearest distance of approach between the particle and heavy nucleous
K=1/4πε Qq/r
or,
r =1/4πε Qq/K
ε
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