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Physical Quantities

A force F is ...

Question

A force F is given by F=at + $b t^{2}$ , where t is time. What are the dimensions of a and b

M L T^{- 3}

and

M L^{2} T^{- 4}

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M L T^{- 3}

and

M L T^{- 4}

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M L T^{- 1}

and

M L T^{0}

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M L T^{- 4}

and

M L T^{- 1}

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Solution

The correct option is B $M L T^{- 3}$ and $M L T^{- 4}$
Dimension of a is same as that of $\frac{F}{t}$ .i.e. $M L T^{- 3}$

Dimension of b is same as that of $\frac{F}{t^{2}}$ .i.e $M L T^{- 4}$

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