With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t - 1)$ is
Only numerically correct
Only dimensionally correct
Both numerically and dimensionally correct
Neither numerically nor dimensionally correct
If $R , X _{ L }$. and $X _{ C }$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
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
$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-
The dimensions of $\frac{\alpha}{\beta}$ in the equation $F=\frac{\alpha-t^2}{\beta v^2}$, where $F$ is the force, $v$ is velocity and $t$ is time, is ..........
if Energy is given by $U = \frac{{A\sqrt x }}{{{x^2} + B}},\,$, then dimensions of $AB$ is