| List-I EM-Wave | List-II Wavelength Range |
|---|---|
| (A) Infra-red | (III) 1 mm to 700 nm |
| (B) Ultraviolet | (II) 400 nm to 1 nm |
| (C) X-rays | (IV) 1 nm to \(10^{-3}\) nm |
| (D) Gamma rays | (I) \(<10^{-3}\) nm |
The correct matching between the EM waves and their wavelength ranges is as follows:
- (A) Infra-red corresponds to \( 1 \, \text{mm} \) to \( 700 \, \text{nm} \), which is (III).
- (B) Ultraviolet corresponds to \( 400 \, \text{nm} \) to \( 1 \, \text{nm} \), which is (II).
- (C) X-rays correspond to \( 1 \, \text{nm} \) to \( 10^{-3} \, \text{nm} \), which is (IV).
- (D) Gamma rays correspond to wavelengths less than \( 10^{-3} \, \text{nm} \), which is (I).
Thus, the correct matching is:
\[ \text{(A)-(III), (B)-(II), (C)-(IV), (D)-(I)} \]
Infrared radiation has the longest wavelength among the options, while gamma rays have the shortest wavelength, corresponding to their relative energy levels, with gamma rays being the most energetic and infrared the least.
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: 