$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
$log (A -B)$
$sin (A + Bx)$
$e^{(AB)}$
$\tan \left[ {\frac{A}{B}\left( {\frac{B}{A}n} \right)} \right]$
If velocity $[V],$ time $[T]$ and force $[F]$ are chosen as the base quantities, the dimensions of the mass will be
Of the following quantities, which one has dimensions different from the remaining three
In Vander Waals equation $\left[ P +\frac{ a }{ V ^{2}}\right][ V - b ]= RT$; $P$ is pressure, $V$ is volume, $R$ is universal gas constant and $T$ is temperature. The ratio of constants $\frac{a}{b}$ is dimensionally equal to .................
Which pair do not have equal dimensions?
Dimensional formula for pressure head is ............