If the speed of light $(c)$, acceleration due to gravity $(g)$ and pressure $(p)$ are taken as the fundamental quantities, then the dimension of gravitational constant is
${c^2}{g^0}{p^{ - 2}}$
${c^0}{g^2}{p^{ - 1}}$
$c{g^3}{p^{ - 2}}$
${c^{ - 1}}{g^0}{p^{ - 1}}$
The characteristic distance at which quantum gravitational effects are significant, the Planck length, can be determined from a suitable combination of the fundamental physical constants $G, h$ and $c$ . Which of the following correctly gives the Planck length?
The dimensions of $RC$ is
($C$ and $R$ represent capacitance and resistance respectively)
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 $R , X _{ L }$. and $X _{ C }$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless:
Pressure gradient has the same dimension as that of