The assertion is true because optical brightening agents (OBAs) do indeed make fabrics appear brighter by absorbing UV light and emitting visible blue light, which helps to enhance the white appearance. However, the reason provided is incorrect because OBAs do not absorb energy in the visible region and radiate in the UV region; rather, they absorb UV light and re-emit it as visible light. Thus, the correct answer is (D).
Final Answer:
\[
\boxed{(D) \, [a] \, \text{is true but} \, [r] \, \text{is false.}}
\]