The velocity $v$ (in $cm/\sec $) of a particle is given in terms of time $t$ (in sec) by the relation $v = at + \frac{b}{{t + c}}$ ; the dimensions of $a,\,b$ and $c$ are
$a = {L^2},\,b = T,\,c = L{T^2}$
$a = L{T^2},\,b = LT,\,c = L$
$a = L{T^{ - 2}},b = L,\,c = T$
$a = L,\,b = LT,\,c = {T^2}$
Pressure gradient has the same dimension as that of
What is the dimensions of impedance?
The fundamental physical quantities that have same dimensions in the dimensional formulae of torque and angular momentum are
The mass of a liquid flowing per second per unit area of cross section of a tube is proportional to $P^x$ and $v^y$ , where $P$ is the pressure difference and $v$ is the velocity. Then, the relation between $x$ and $y$ is
Given that $\int {{e^{ax}}\left. {dx} \right|} = {a^m}{e^{ax}} + C$, then which statement is incorrect (Dimension of $x = L^1$) ?