If the force is given by $F = at + bt^2$ where $t$ is time,the dimensions of $a$ and $b$ are:

Given a charge $q$,current $I$ and permeability of vacuum $\mu_0$. Which of the following quantity has the dimension of momentum?

If the time period $T \propto P^a d^b E^c$,where $P$ is pressure,$d$ is density,and $E$ is energy,then the value of $c$ is:

If force $F$,velocity $V$,and time $T$ are taken as fundamental units,then the dimension of force in the pressure is:

Given the pressure formula $P = FK$,where $F$ is force,find the dimensional formula of $K$.

The amount of heat energy $Q$ used to heat up a substance depends on its mass $m$,its specific heat capacity $s$,and the change in temperature $\Delta T$ of the substance. Using the dimensional method,find the expression for $s$. (Given that $[s] = [L^2 T^{-2} K^{-1}]$)