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Force F is given by F=at+bt^(2). Where '...

Force F is given by `F=at+bt^(2)`. Where ''t'' is time. What are the dimensions of ''a'' and ''cb''?

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
`F= at + bt^2`
According to principle of homogeneity , the force becomes,
`MLT^2 = MLT^(-2) + MLT^(-2)`
Comparing (1) and (2) , we get a `= MLT^(-3) , b= MLT^(-4)`
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