Given that $\int {{e^{ax}}\left. {dx} \right|}  = {a^m}{e^{ax}} + C$, then which statement is incorrect (Dimension of $x =  L^1$) ?

A beaker contains a fluid of density $\rho \, kg / m^3$, specific heat $S\, J / kg\,^oC$ and viscosity $\eta $. The beaker is filled upto height $h$. To estimate the rate of heat transfer per unit area $(Q / A)$ by convection when beaker is put on a hot plate, a student proposes that it should depend on $\eta \,,\,\left( {\frac{{S\Delta \theta }}{h}} \right)$ and $\left( {\frac{1}{{\rho g}}} \right)$ when $\Delta \theta $ (in $^oC$) is the difference in the temperature between the bottom and top of the fluid. In that situation the correct option for $(Q / A)$ is

Pressure exerted by a gas is found to be $50\, N/m^2$ , then the value of pressure in $CGS$ system is