Step 1: Read the claims separately.
We treat the Assertion and the Reason as two independent science facts and judge each on its own.
Step 2: Recall planetary order.
Going outward from the Sun: Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune. So Mercury sits closest, and $\text{Neptune}$ is farthest.
Step 3: Test the Assertion.
It says Mercury is the farthest planet. That contradicts the order above, so the Assertion is false.
Step 4: Test the Reason.
Mercury's diameter is about $4879$ km, the smallest of the eight planets. So the Reason is true.
Step 5: Combine the two verdicts.
We have a false Assertion paired with a true Reason.
Step 6: Pick the matching option.
The choice that reads "As is false, but R is true" fits exactly.
\[ \boxed{\text{[As] is false, but [R] is true.}} \]