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:
$(A)-(I), (B)-(IV), (C)-(III), (D)-(II)$
$(A)-(III), (B)-(I), (C)-(IV), (D)-(II)$
$(A)-(II), (B)-(III), (C)-(IV), (D)-(I)$
$(A)-(IV), (B)-(II), (C)-(I), (D)-(III)$
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
Why concept of dimension has basic importance ?
The quantities $A$ and $B$ are related by the relation, $m = A/B$, where $m$ is the linear density and $A$ is the force. The dimensions of $B$ are of
The potential energy of a particle varies with distance $x$ from a fixed origin as $U\, = \,\frac{{A\sqrt x }}{{{x^2} + B}}$ Where $A$ and $B$ are dimensional constants then find the dimensional formula for $A/B$
Young-Laplace law states that the excess pressure inside a soap bubble of radius $R$ is given by $\Delta P=4 \sigma / R$, where $\sigma$ is the coefficient of surface tension of the soap. The EOTVOS number $E_0$ is a dimensionless number that is used to describe the shape of bubbles rising through a surrounding fluid. It is a combination of $g$, the acceleration due to gravity $\rho$ the density of the surrounding fluid $\sigma$ and a characteristic length scale $L$ which could be the radius of the bubble. A possible expression for $E_0$ is