1.

Given `F = (a//t) + bt^2` where F denotes force and t time. The diamensions of a and b are respectively :A. `[MLT^(-1)] and [MLT^(-4)]`B. `[LT^(-1)] and [T^(-2)]`C. `[T] and [T^(-2)]`D. `[LT^(-2)] and [T^(-2)]`

Answer» Correct Answer - (a)
Here a//t and `bt^2` both should represent the force,
`:. F = (a)/(t)`
`:. a = Fxx t = MLT^(-2)xxT = MLT^O(-4)`
`Also, F =bt^2,`
`:. b = (F)/(t^2), i.e., b= (MLT^(-2))/(T^2) = MLT^(-4)`
`b =MLT^(-4)`


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