Write the dimensions of $a/b$ in the relation $P = \frac{{a - {t^2}}}{{bx}}$ , where $P$ is pressure, $x$ is the distance and $t$ is the time
${M^{ - 1}}{L^0}{T^{ - 2}}$
${M^1}{L^0}{T^{ - 2}}$
${M^1}{L^0}{T^{ 2}}$
${M^1}{L^1}{T^{ - 2}}$
A dimensionally consistent relation for the volume $V$ of a liquid of coefficient of viscosity $\eta $ flowing per second through a tube of radius $r$ and length $l$ and having a pressure difference $p$ across its end, is
Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ are
If force $F$ , velocity $V$ and time $T$ are taken as fundamental units then dimension of force in the pressure is