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For a body moving along x-axis, the distance travelled by body from a reference point is given as function of time t as x = at² + b; where, a and b are constants, then the dimension of $\sqrt{ab}$ is same as:

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Correct option is A

As x = at2 + b, therefore [a]=[ LT-2] and[ b]= [ L]∴[ab]=[L2T-2] ⇒ [M]=[LT-1]

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For a body moving along x-axis, the distance travelled by body from a reference point is given as function of time t as x = at2 + b; where, a and b are constants, then the dimension of ab is same as:

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For a body moving along x-axis, the distance travelled by body from a reference point is given as function of time t as x = at² + b; where, a and b are constants, then the dimension of $\sqrt{ab}$ is same as: