Given below are two statements:
Statement $I:$ For a planet,if the ratio of mass of the planet to its radius increases,the escape velocity from the planet also increases.
Statement $II:$ Escape velocity is independent of the radius of the planet.
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 incorrect.
• B
  Statement $I$ is correct but Statement $II$ is incorrect.
• C
  Statement $I$ is incorrect but Statement $II$ is correct.
• D
  Both Statement $I$ and Statement $II$ are correct.