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Amit Saxena Grade: upto college level
        Suppose an attractive nuclear force acts between two protons which may be written as F = Ce-kr/r2. (a) Write down the dimensional formulae and appropriate SI units of C and k. (b) Suppose that k = 1 fermi-1 and that the repulsive electric force between the protons is just balanced by the attractive nuclear force when the separation is 5 fermi. Find the value of C.
3 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
										Sol. Expression of electrical force F = C * e^-kr/r^2

Since e^-kr is a pure number. So, dimecsional formulae of F = dim ensional formulae of C/dim ensional formulae of r^2
Or, [MLT^–2][L^2] = dimensional formulae of C = [ML^3T^–2]
Unit of C = unit of force × unit of r^2 = Newton × m^2 = Newton–m^2
Since –kr is a number hence dimensional formulae of
K = 1/dim entional formulae of r = [L^-1] Unit of k = m^-1
3 years ago
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