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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