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C can be written as Fr2/e-kr
Now,e raised to anything does not have any units.So,C will have the same dimensions and units of Fr2,i.e,Newton*(metre)2 and the dimensions are ml3t-2.
Now,the power to which e is raised should not have any units or dimensions.
That means,kr should not have any dimensions.That means k should have dimensions of 1/r so that kr has no dimensions.Thus unit of k is (metre)-1 and dimension is L-1.
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Moderation Team
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