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A force F is given by F = at + bt^(2) , ...

A force `F` is given by `F = at + bt^(2)` , where `t` is time . What are the dimensions of `a and b`?

A

`MLT^(-3) and ML^(2)T^(-4)`

B

`MLT^(-3) and MLT^(-4)`

C

`MLT^(-1) and MLT^(0)`

D

`MLT^(4) and MLT^(1)`

Text Solution

Verified by Experts

The correct Answer is:
B
`F = at +bt^2`
`[at] = [MLT^(-2)] implies [a] = [MLT^(-3)]`
`[bt]^2 = [MLT^(-2)] implies [b] = [MLT^(-4)]`
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