The period of a body under SHM i.e. presented by $T = {P^a}{D^b}{S^c}$; where $P$ is pressure, $D$ is density and $S$ is surface tension. The value of $a,\,b$ and $c$ are
$ - \frac{3}{2},\,\frac{1}{2},\,1$
$ - 1,\, - 2,\,3$
$\frac{1}{2},\, - \frac{3}{2},\, - \frac{1}{2}$
$1,\,2,\,\frac{1}{3}$
Dimensions of luminous flux are
Time period $T\,\propto \,{P^a}\,{d^b}\,{E^c}$ then value of $c$ is given $p$ is pressure, $d$ is density and $E$ is energy
The potential energy of a particle varies with distance $x$ from a fixed origin as $U=\frac{A \sqrt{x}}{x^2+B}$, where $A$ and $B$ are dimensional constants then dimensional formula for $A B$ is
The dimensional formula $[ML^0T^{-3}]$ is more closely associated with
Write the dimensions of $a/b$ in the relation $P = \frac{{a - {t^2}}}{{bx}}$ , where $P$ is pressure, $x$ is the distance and $t$ is the time