Physics - Unit & Dimension Question with Solution | TestHub

The volume $V$ of water flowing with velocity $v$ through any cross-section of area $A$ of a uniform tube in interval $t$ is given by the equation $V\propto A^{\alpha }{v}^{\beta }{t}^{\gamma }$. Here $\alpha ,\beta$ and $\gamma$ are constants. Based on dimension analysis which one of the following statements is correct?