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

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