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
Of the following quantities,which one has dimensions different from the remaining three?
MediumAIIMS 1987
View SolutionMatch List-$I$ with List-$II$.
List-$I$ List-$II$ $(A)$ Coefficient of viscosity $(I)$ $[ML^0T^{-3}]$ $(B)$ Intensity of wave $(II)$ $[ML^{-2}T^{-2}]$ $(C)$ Pressure gradient $(III)$ $[M^{-1}LT^2]$ $(D)$ Compressibility $(IV)$ $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:
| List-$I$ | List-$II$ |
| $(A)$ Coefficient of viscosity | $(I)$ $[ML^0T^{-3}]$ |
| $(B)$ Intensity of wave | $(II)$ $[ML^{-2}T^{-2}]$ |
| $(C)$ Pressure gradient | $(III)$ $[M^{-1}LT^2]$ |
| $(D)$ Compressibility | $(IV)$ $[ML^{-1}T^{-1}]$ |
Fill in the blanks:
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$
Easy
View SolutionWhich of the following statements regarding the nature of physical laws is $NOT$ correct?
Which of the following pairs of quantities do not have the same dimensions?
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