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Physics
What is the distance of closest approach when a 5 MeV proton approaches a gold nucleus (Z=79) ?
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Q. What is the distance of closest approach when a $5 MeV$ proton approaches a gold nucleus $(Z=79) ?$
Atoms
A
$4 \times 10^{-14} m$
21%
B
$2 \times 10^{-14} m$
48%
C
$3 \times 10^{-14} m$
16%
D
None of these
15%
Solution:
$E =\frac{( Ze )( e )}{4 \pi \varepsilon_{ o } r }=\frac{9 \times 10^{9} \times 79 \times\left(1.6 \times 10^{-19}\right)^{2}}{ r \times 1.6 \times 10^{-13}}$
$r=2.3 \times 10^{-14} m$