In the equation $y = pq$ $tan\,(qt)$, $y$ represents position, $p$ and $q$ are unknown physical quantities and $t$ is time. Dimensional formula of $p$ is
${L^{1}}{T^{ - 1}}$
${L^1}{T^1}$
${L^{ - 1}}{T^1}$
${L^{ - 1}}{T^{ - 1}}$
The equation of state of some gases can be expressed as $\left( {P + \frac{a}{{{V^2}}}} \right)\,(V - b) = RT$. Here $P$ is the pressure, $V$ is the volume, $T$ is the absolute temperature and $a,\,b,\,R$ are constants. The dimensions of $'a'$ are
Given that $v$ is speed, $r$ is the radius and $g$ is the acceleration due to gravity. Which of the following is dimensionless
Which of the following relation cannot be deduced using dimensional analysis? [the symbols have their usual meanings]
From the following combinations of physical constants (expressed through their usual symbols) the only combination, that would have the same value in different systems of units, is