I have a doubt in the question given below ????

Solution:
Let energy, UPaAbTc U=kPaAbTc..(i) where k is dimensionless constant of proportionality. Form (i) [ML2T-2]=(MLT-1)aTc=MaLa+2bT-a+c Applying the principle of homogeneity of dimensions, we get a=1, a+2 b=2, b=2a2=212=12 -a + c= -2, c= -2 + a = -2 +1 = -1 (i),U=k[P1A1/2T-1]

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