Difficult
The equation of state of a gas is given by $\left( P + \frac{aT^2}{V} \right) V^c = (RT + b)$,where $a, b, c$ and $R$ are constants. The isotherms can be represented by $P = AV^m - BV^n$,where $A$ and $B$ depend only on temperature. Then:
- A$m = -c$ and $n = -1$
- B$m = c$ and $n = 1$
- C$m = -c$ and $n = 1$
- D$m = c$ and $n = -1$
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Similar Questions
Mention the $MKS$ and $CGS$ units of work,define them,and write the dimensional formula of work.
Medium
View SolutionNames of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$ $(i)$. $[L^2 T^{-2} K^{-1}]$ $B$. $N \cdot m \cdot K^{-1}$ $(ii)$. $[MLT^{-3} K^{-1}]$ $C$. $J \cdot kg^{-1} \cdot K^{-1}$ $(iii)$. $[ML^{-1} T^{-1}]$ $D$. $W \cdot m^{-1} \cdot K^{-1}$ $(iv)$. $[ML^2 T^{-2} K^{-1}]$
| $A$. $Pa \cdot s$ | $(i)$. $[L^2 T^{-2} K^{-1}]$ |
| $B$. $N \cdot m \cdot K^{-1}$ | $(ii)$. $[MLT^{-3} K^{-1}]$ |
| $C$. $J \cdot kg^{-1} \cdot K^{-1}$ | $(iii)$. $[ML^{-1} T^{-1}]$ |
| $D$. $W \cdot m^{-1} \cdot K^{-1}$ | $(iv)$. $[ML^2 T^{-2} K^{-1}]$ |
DifficultTS EAMCET 2005
View SolutionWhich of the following does not have the dimensions of force?
Easy
View SolutionState,for each of the following physical quantities,if it is a scalar or a vector: volume,mass,speed,acceleration,density,number of moles,velocity,angular frequency,displacement,angular velocity.
Easy
View SolutionWhich quantity among the following has neither units nor dimensions?
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