If $L$ denotes the inductance of an inductor through which a current $i$ is flowing,the dimensions of $L{i^2}$ are
- A$M{L^2}{T^{-2}}$
- BNot expressible in $MLT$
- C$ML{T^{-2}}$
- D${M^2}{L^2}{T^{-2}}$
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Derive the dimensional formula for $R$ (Universal gas constant) from the equation $PV = \mu RT$.
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The dimension of angular momentum in mass $(M)$, length $(L)$ and time $(T)$ is
Match List-$I$ with List-$II$.
List-$I$ List-$II$ $A$. Coefficient of viscosity $I$. $[ML^{-1}T^{-2}]$ $B$. Surface tension $II$. $[ML^2T^{-2}]$ $C$. Pressure $III$. $[ML^0T^{-2}]$ $D$. Surface energy $IV$. $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
|---|---|
| $A$. Coefficient of viscosity | $I$. $[ML^{-1}T^{-2}]$ |
| $B$. Surface tension | $II$. $[ML^2T^{-2}]$ |
| $C$. Pressure | $III$. $[ML^0T^{-2}]$ |
| $D$. Surface energy | $IV$. $[ML^{-1}T^{-1}]$ |
Choose the correct answer from the options given below:
Which one of the following does not have the same dimensions?
Medium
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