From the following, the quantity (constructed from the basic constants of nature), that has the dimensions, as well as correct order of magnitude, vis-a-vis typical atomic size, is:

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As E = mc 2 also E = F ⋅ s = r 2 kq ⋅ q ​ ⋅ r Therefore dimensionally ​ mc 2 = 4 π ϵ 0 ​ 1 ​ r q 2 ​ ⇒ r = 4 π ϵ 0 ​ mc 2 e 2 ​ ​

Physics - Unit & Dimension Question with Solution | TestHub

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