Correct option is D
Statement-I is incorrect.
The lifespan of a star is inversely related to its mass. Giant stars, which are much more massive than dwarf stars, have shorter lifespans. This is because they burn through their nuclear fuel at a much faster rate due to their higher temperatures and pressures in the core. On the other hand, dwarf stars, especially red dwarfs, can burn their fuel very slowly, allowing them to live for billions or even trillions of years, much longer than giant stars.
Statement-II is correct.
Giant stars do indeed have a greater rate of nuclear reactions compared to dwarf stars. This is due to their larger mass and higher core temperatures, which result in faster fusion processes. As a result, giant stars burn their nuclear fuel much more rapidly, which also explains why they have shorter lifespans compared to dwarf stars.