The figure shows the \((P\text-V)\) diagram of an ideal gas undergoing a change of state from \(A\) to \(B\). Four different paths \(\mathrm{I, II, III}\) and \(\mathrm{IV}\), as shown in the figure, may lead to the same change of state.
![](https://d2f8z173p7073l.cloudfront.net/1658052972445)
(a) |
The change in internal energy is the same in cases \(\mathrm{IV}\) and \(\mathrm{III}\) but not in cases \(\mathrm{I}\) and \(\mathrm{II}\). |
(b) |
The change in internal energy is the same in all four cases. |
(c) |
Work done is maximum in case \(\mathrm{I}\). |
(d) |
Work done is minimum in case \(\mathrm{II}\). |
Which of the following options contains only correct statements?
1. (b), (c), (d)
2. (a), (d)
3. (b), (c)
4. (a), (c), (d)