First slide
Dimensions
Question

The dimensions of ab in the equation P = at2bx2 where P is pressure, x is distance and t is time, are:

Easy
Solution

P=at2bx2=abx2t2bx2

As per principle of dimensional homogeneity each term in the equation must carry the dimension of pressure.

P=abx2ab=Px2=ML1T2L2ab=MLT2 

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