Dimensions of charge are

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

The $SI$ unit of a physical quantity is pascal-second. The dimensional formula of this quantity will be ..............

If the dimensions of a physical quantity are given by $M^aL^bT^c$,then the physical quantity will be:

Dimensions of the coefficient of viscosity are

$A$ function $f(\theta)$ is defined as $f(\theta) = 1 - \theta + \frac{\theta^2}{2!} - \frac{\theta^3}{3!} + \frac{\theta^4}{4!} - \dots$. Why is it necessary for $f(\theta)$ to be a dimensionless quantity?