Given below are two statements:
Statement $I$: $A$ $\pi$ bonding $MO$ has lower electron density above and below the inter-nuclear axis.
Statement $II$: The $\pi^*$ antibonding $MO$ has a node between the nuclei.
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 false
• B
  Both Statement $I$ and Statement $II$ are true
• C
  Statement $I$ is false but Statement $II$ is true
• D
  Statement $I$ is true but Statement $II$ is false