The amount of heat energy $Q$, used to heat up a substance depends on its mass $m$, its specific heat capacity $(s)$ and the change in temperature $\Delta T$ of the substance. Using dimensional method, find the expression for $s$ is (Given that $\left.[s]=\left[ L ^2 T ^{-2} K ^{-1}\right]\right)$ is
$Q m \Delta T$
$\frac{Q}{m \Delta T}$
$\frac{Q m}{\Delta T}$
$\frac{m}{Q \Delta T}$
In $SI\, units$, the dimensions of $\sqrt {\frac{{{ \varepsilon _0}}}{{{\mu _0}}}} $ is
Given that $v$ is the speed, $r$ is radius and $g$ is acceleration due to gravity. Which of the following is dimensionless?
The dimension of $P = \frac{{{B^2}{l^2}}}{m}$ is
where $B=$ magnetic field, $l=$ length, $m =$ mass
The dimensions of universal gravitational constant are
Dimensions of magnetic field intensity is