Work, Power and EnergyHard

Question

If momentum (p), Area (A), Time (T) are takento be fundamental quantities, then energy has thedimensional formula :-

Options

A.p1A-1T1
B.p2A1T1
C.p1A-1/2T1
D.p1A1/2T-1

Solution

E ∞ pa Ab Tc
ML2T-2 = [MLT-1]a (L2)b [T]C
After solving
a = 1, b = , C = - 1

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