Match List $I$ with List $II$
LIST$-I$ | LIST$-II$ |
$(A)$ Torque | $(I)$ $ML ^{-2} T ^{-2}$ |
$(B)$ Stress | $(II)$ $ML ^2 T ^{-2}$ |
$(C)$ Pressure of gradient | $(III)$ $ML ^{-1} T ^{-1}$ |
$(D)$ Coefficient of viscosity | $(IV)$ $ML ^{-1} T ^{-2}$ |
Choose the correct answer from the options given below
$(A)-(III), (B)-(IV), (C)-(I), (D)-(II)$
$(A)-(IV), (B)-(II), (C)-(III), (D)-(I)$
$(A)-(II), (B)-(IV), (C)-(I), (D)-(III)$
$(A)-(II), (B)-(I), (C)-(IV), (D)-(III)$
If mass is written as $\mathrm{m}=\mathrm{kc}^{\mathrm{p}} \mathrm{G}^{-1 / 2} \mathrm{~h}^{1 / 2}$ then the value of $P$ will be : (Constants have their usual meaning with $\mathrm{k}$ a dimensionless constant)
The velocity of a freely falling body changes as ${g^p}{h^q}$ where g is acceleration due to gravity and $h$ is the height. The values of $p$ and $q$ are
Applying the principle of homogeneity of dimensions, determine which one is correct. where $\mathrm{T}$ is time period, $\mathrm{G}$ is gravitational constant, $M$ is mass, $r$ is radius of orbit.
Of the following quantities, which one has dimensions different from the remaining three
The dimensional formula of latent heat is: