A force F is given by F - at - bt 2- where t is time- What are the dimensions of a and bA- M L T-3 and M L T-4B- M L T-1 and M L T-C- M L T-4 and M L T-1D- M L T-3 and M L2 T-4

The correct option is A Force = mass× accelaration = MLT^ 2 Dimension of ais same as that of F/t .i.e. MLT^ 3 Dimension of b is same as that of F/t^2.i.e MLT^ ...

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Standard IX

Mathematics

Ratio and Proportion

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

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Solution

The correct option is B
Force = $m a s s \times a c c e l a r a t i o n$ = $M L T^{- 2}$

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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A force F is given by F=at + bt2 , where t is time. What are the dimensions of a and b

The correct option is B Force = mass×accelaration = MLT−2 Dimension of ais same as that of Ft .i.e. MLT−3 Dimension of b is same as that of Ft2.i.e MLT−4

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

The correct option is B
Force = $m a s s \times a c c e l a r a t i o n$ = $M L T^{- 2}$

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 $M L T^{- 4}$