Match List$-I$ with List$-II$.
List$-I$ | List$-II$ |
$(A)$ Angular momentum | $(I)$ $\left[ ML ^2 T ^{-2}\right]$ |
$(B)$ Torque | $(II)$ $\left[ ML ^{-2} T ^{-2}\right]$ |
$(C)$ Stress | $(III)$ $\left[ ML ^2 T ^{-1}\right]$ |
$(D)$ Pressure gradient | $(IV)$ $\left[ ML ^{-1} T ^{-2}\right]$ |
Choose the correct answer from the options given below:
$(A)-(I), (B)-(IV), (C)-(III), (D)-(II)$
$(A)-(III), (B)-(I), (C)-(IV), (D)-(II)$
$(A)-(II), (B)-(III), (C)-(IV), (D)-(I)$
$(A)-(IV), (B)-(II), (C)-(I), (D)-(III)$
If the dimensions of length are expressed as ${G^x}{c^y}{h^z}$; where $G,\,c$ and $h$ are the universal gravitational constant, speed of light and Planck's constant respectively, then
$ML{T^{ - 1}}$ represents the dimensional formula of
If force $(F)$, velocity $(V)$ and time $(T)$ are considered as fundamental physical quantity, then dimensional formula of density will be:
$Assertion$ : Specific gravity of a fluid is a dimensionless quantity.
$Reason$ : It is the ratio of density of fluid to the density of water
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