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

  • A

    ${L^{1}}{T^{ - 1}}$

  • B

    ${L^1}{T^1}$

  • C

    ${L^{ - 1}}{T^1}$

  • D

    ${L^{ - 1}}{T^{ - 1}}$

Similar Questions

If the present units of length. time and mass $(m, s, k g)$ are changed to $100\; m, 100\; s$. $\frac{1}{10} \;k g$ then

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

  • [JEE MAIN 2014]