Given below are two statements :
Statement `I` : For transmiting a signal,size of antenna `(l)` should be comparable to wavelength of signal (at least `l=(lambda)/(4)` in dimension)
Statement II : In amplitude modulation,amplitude of carrier wave remains constant (unchanged). In the light of the above statements,choose the most appropriate answer from the options given below.

Options

A. Statement I is correct but Statement II is incorrect
B. Both Statement I and Statement II are incorrect
C. Both Statement I and Statement II are correct
D. Statement I is incorrect but Statement II is correct

Answer

To solve the question, we need to analyze both statements provided and determine their correctness.

### Step 1: Analyze Statement I
Statement I states that for transmitting a signal, the size of the antenna (l) should be comparable to the wavelength of the signal, specifically that it should be at least \( l = \frac{\lambda}{4} \) in dimension.

**Explanation:**
- In radio communication, antennas are designed to transmit and receive electromagnetic waves. The effectiveness of an antenna is significantly influenced by its size relative to the wavelength of the signal it is intended to transmit or receive.
- A common rule of thumb is that the length of the antenna should be at least a quarter of the wavelength (\( \frac{\lambda}{4} \)) for efficient transmission and reception of signals. This makes Statement I **correct**.

### Step 2: Analyze Statement II
Statement II claims that in amplitude modulation (AM), the amplitude of the carrier wave remains constant (unchanged).

**Explanation:**
- In amplitude modulation, the amplitude of the carrier wave does indeed vary according to the amplitude of the modulating signal (the information signal). The carrier wave's amplitude changes to represent the information being transmitted.
- Therefore, the assertion that the amplitude of the carrier wave remains constant is **incorrect**. Thus, Statement II is **false**.

### Conclusion
- Statement I is **true**.
- Statement II is **false**.

### Final Answer
Based on the analysis, the most appropriate answer is that Statement I is correct and Statement II is incorrect.