Assertion (A): To orbit around the Sun, the planet Mars takes lesser time than the time taken by the Earth.
Reason (R): The diameter of the planet Mars is less than that of the Earth.
While the assertion (A) is true, the reason (R) provided is not a correct explanation for why Mars takes less time to orbit the Sun. The orbital period of a planet primarily depends on its distance from the Sun, not its diameter. Therefore, assertion (A) is true, but reason (R) is not.
So, the correct answer is indeed:
(d) A is false but R is true.