Physics

If the displacement S of a body in time '$$t$$' is given by $$S={ At }^{ 3 }+{ Bt }^{ 2 }+Ct+D$$, the dimension of A is:


ANSWER

$${ L }^{ 1 }{ T }^{ -3 }$$


SOLUTION

$$S=At^{3}+Bt^{2}+(t+1)$$

$$L^{1}=At^{3}$$

$$A=LT^{-3}$$

$$L^{1}=Bt^{2}\Rightarrow

B=LT^{-2}$$

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Single Correct Medium Published on 18th 08, 2020
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