Step 1: D (+)-Glucose is indeed dextrorotatory — it rotates plane-polarized light to the right. So, Assertion (A) is true.
Step 2: However, the ‘D’ in D-glucose does not represent its optical activity. ‘D’ refers to its configuration relative to D-glyceraldehyde (it tells about the position of the –OH group on the chiral carbon farthest from the aldehyde group).
Step 3: The sign (+) or (–) indicates optical rotation, while ‘D’ and ‘L’ indicate configuration only. So the Reason (R) is false.