If the unit of force is $100\,N$,unit of length is $10\,m$ and unit of time is $100\,s$,what is the unit of mass in this system of units?

The efficiency of an engine is given by $\eta = \frac{\alpha \beta}{\sin \theta} \cdot \log_{e} \frac{\beta x}{kT}$,where $\alpha$ and $\beta$ are constants. If $T$ is the absolute temperature,$k$ is the Boltzmann constant,$\theta$ is angular displacement,and $x$ is distance,then the incorrect statement is:

If energy is given by $U = \frac{A\sqrt{x}}{x^2 + B}$,then the dimensions of $AB$ are:

If pressure $P$,velocity $V$ and time $T$ are taken as fundamental physical quantities,the dimensional formula of force is

$E, m, l$ and $G$ denote energy,mass,angular momentum,and gravitational constant respectively. Then the dimensions of $\frac{El^2}{m^5G^2}$ are:

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