List of top Physics Questions on Units and measurement asked in BCECE

If $E=$ energy, $G=$ gravitational constant, $I=$ impulse and $M=$ mass, then dimensions of $\frac{G I M^{2}}{E^{2}}$ are same as that of

A gas bubble formed from an explosion under water oscillates with a period $T$ proportional to $P^{a} d^{b} E^{c}$, where $P$ is pressure, $d$ is the density of water and $E$ is the total energy of explosion. The value of $a, b, c$ are

A force $F$ is given by $F=a t +b t^{2}$, where $t$ is time. What are the dimensions of $a$ and $b$ respectively ?