Answer:
here distance is 4.45 [tex]10^{-14}[/tex] meter
Explanation:
Given data
alpha particle accelerated towards a gold nucleus
alpha nucleus = 5.21 MeV
to find out
how close to the gold nucleus
solution
we know according to conversation of energy that
initial kinetic energy is equal to final potential energy ( electrostatic) i.e
1/2 m v² = k q(a) q(b) / d
here we find d by put all value q(a) q(b) and k amd m v
we get
d = 2 × 9 × [tex]10^{9}[/tex] × 2× 79 × (1.6 ×[tex]10^{-19})^2[/tex] / 2 × 5.1 × [tex]10^{6}[/tex] ×1.6× [tex]10^{-19}[/tex]
so here distance is 4.45 [tex]10^{-14}[/tex] meter