
- **Option A:** In a purely capacitive circuit, the voltage (V) lags the current (I) by 90°. Therefore, **A-I** is correct.
- **Option B:** In a purely inductive circuit, the voltage (V) leads the current (I) by 90°. Therefore, **B-II** is correct.
- **Option C:** In an LCR series circuit at resonance, the inductive reactance (XL) equals the capacitive reactance (XC), resulting in a purely resistive behavior where the voltage and current are in phase. Therefore, **C-III** is correct.
- **Option D:** In a general LCR series circuit, the voltage and current are out of phase by an angle θ, which depends on the relative values of XL and XC. Therefore, **D-IV** is correct.
**Answer:** A-I, B-II, C-III, D-IV (Option 4)
Match the LIST-I with LIST-II:
| List-I | List-II | ||
| A. | Radio-wave | I. | is produced by Magnetron valve |
| B. | Micro-wave | II. | due to change in the vibrational modes of atoms |
| C. | Infrared-wave | III. | due to inner shell electrons moving from higher energy level to lower energy level |
| D. | X-ray | IV. | due to rapid acceleration of electrons |
Choose the correct answer from the options given below:

In the following \(p\text{–}V\) diagram, the equation of state along the curved path is given by \[ (V-2)^2 = 4ap, \] where \(a\) is a constant. The total work done in the closed path is: 