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Write the dimensions of a and b in the relation, P=b-x2at, where P is power, x is distance and t is time.

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a
[a]==M-2 L0 T2,[b]=M1 L2 T0
b
[a]==M-1 L0 T2,[b]=M2 L2 T0
c
[a]==M-1 L0 T2,[b]=M1 L2 T0
d
[a]==M-1 L0 T2,[b]=M0 L2 T0

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detailed solution

Correct option is D

The given equation can be written as, Pat=b-x2Now,[Pat]=[b]=x2 or [b]=x2=M0 L2 T0 and [a]=x2[Pt]=L2ML2 T-3[T]=M-1 L0 T2


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