P25_082 - 82. (a) At the smallest center-to-center...

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82. (a) At the smallest center-to-center separation r min the initial kinetic energy K i of the proton is entirely converted to the electric potential energy between the proton and the nucleus. Thus, K i = 1 4 πε 0 eq lead r min = 82 e 2 4 0 r min . In solving for r min using the eV unit, we note that a factor of e cancels in the middle line: r min = 82 e 2 4 0 K i = k 82 e 2 4 . 80 × 10 6 e V = µ 8 . 99 × 10 9 N · m 2 C 2 82(1 . 6 × 10 19 C) 4 . 80 × 10 6 V =2 . 5 × 10 14 m=25fm . It is worth recalling that a volt is a Newton
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This note was uploaded on 11/12/2011 for the course PHYS 2001 taught by Professor Sprunger during the Fall '08 term at LSU.

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