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Calculate distance of closet approach by...

Calculate distance of closet approach by an `alpha `-particle of `KE=2.5 MeV` being scattered by gold nucleus `(Z=79)`.

Text Solution

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`KE_(i) PE_(f) = (K(79e)(2e))/(r )`
Remember : `(1eV=1.6xx10^(-19)J)/(1MeV=1.6xx10^(-13)J)`
`implies 2.5xx1.6xx10^(-13)J=(9xx10^(9)xx79xx2xx(1.6xx10^(-19))^(2))/(r )implies r = 9.1xx10^(-14)m`
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