Physics

# Find the dimensions of $a$ & $b$ if$F=at+bt^{2}$

##### SOLUTION
According to homogeneity  principle
Dimensional Formula of $F$ = Dimensional Formula of $at$ = Dimensional Formula of $bt^2$

We know that Dimensional Formula of $F = [MLT^{-2}]$

So, Dimensional Formula of $at$ = $[MLT^{-2}]$
$\Rightarrow$ Dimensional Formula of $a$ = $[MLT^{-3}]$

Also,Dimensional Formula of $bt^2$ = $[MLT^{-2}]$
$\Rightarrow$ Dimensional Formula of $b$ = $[MLT^{-4}]$

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Subjective Medium Published on 18th 08, 2020
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