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Suppose ana attractive nuclear force act...

Suppose ana attractive nuclear force acts between two protons which may be written as `F = Ce^(-kr) //r^2,` (a) Write down the dimensional formulae and appporpriate SI units of C and k. (b) Suppose that `k = 1 fermi^(-1)` and that the repulsive electreic force between the protons is just blanced by the attractive nuclear force when the separation is 5 fermi. Find the value of c.

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(a) Given, F=C(e^-kr)/r^2 `
Since `e^-kr` is pure number
` So, K=(1)/r=[L^-1] `
` C=[ML^3T^-2] `
` (b) F=(9xx10^9xx(1.6xx10^-19)^2)/(5xx10^-15)^2 `
` =(Cxx10^-5)/(5xx10^-15)^2 `
` C=3.4xx10^-26N-m^2`
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