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C) A is dimensionless ; B has dimensions M0L²T0, is the correct option.
This can be explained as:-
We know, that refractive index is a dimension less quantity.
Now, According to principal of homogeneity we know, that dimensions of quantities on the left is equal to dimensions of quantities in the right. So, A is dimensionless as refractive index.
Also, we know only like physical quantities can be added or subtracted. So, Dimensions of A = Dimensions of B/lamda².
Now since A is dimensionless,
B/lamda² = M0L0T0
B/L² = M0L0T0
so,
B = M0L²T0
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