If $A, B$ and $C$ are three different physical quantities with different dimensional formulae, then the combination which can never give a proper physical quantity is

The force $F$ acting on a body of density $d$ is related by the equation $F=\frac{y}{\sqrt{d}}$. The dimensions of $y$ are:

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

In the relation $P = \frac{\alpha}{\beta} e^{-\frac{\alpha Z}{k\theta}}$,$P$ is pressure,$Z$ is distance,$k$ is Boltzmann constant,and $\theta$ is temperature. The dimensional formula of $\beta$ is:

Which of the following expressions can be deduced on the basis of dimensional analysis? (All symbols have their usual meanings)

Consider an expression $Q V = k P T L^\alpha$ where $V, P, T, L$ are volume, pressure, time, and length respectively. The quantity $[Q]$ has dimension $M L^{-1} T^{-1}$. $k$ is a dimensionless constant. The value of the integer $\alpha$ is: