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What are the dimensional formulae of fol...

What are the dimensional formulae of following physical quantities ?
(i) Area (ii) Density (iii) Speed (iv) Force (v) Work (vi)Power

Text Solution

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(i) [Area] `=` length `xx` breadth `=(LxxL)=M^(0)L^(2)T^(0)`
`(ii)` [Density] `=("mass")/("volume")=[(M)/(L^(3))]=M^(1)L^(-3)T^(0)`
(iii) [Speed] `=("distance")/("time")=((L)/(T))=M^(0)L^(1)T^(-1)`
(iv) [Force] `=` mass `xx` acceleration `=MM^(0)LT^(-2)=MLT^(-2)`
(v) [Work] `=` force `xx` distance `=MLT^(-2)L=ML^(2)T^(-2)`
(vi)[Pwer] `=("work")/("time")=(ML^(2)T^(-2))/(T)=ML^(2)T^(-3)`
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