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In the original experiment, Geiger and M...

In the original experiment, Geiger and Marsden calculated the distance of closest approach to the gold nucleus (Z=79)- of a 7.7MeV `alpha` particle before it comes momentarily to rest and reverses its direction. What is its value?

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Here, K.E. `=7.7MeV`
`=7.7xx1.6xx10^(13)J`
`Z=79` for gold, `r_0=?`
`r_0=1/(4pi in_0) ((Ze)(2e))/(KE)`
`=(9xx10^9xx2xx(79)(1.6xx10^(-19))^2)/(7.7xx1.6xx10^(-13))`
`=29.5xx10^(-15)m=29.5"fermi"`
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