The correct option is Statement-I is incorrect, but Statement-II is correct.
Explanation
The lifespan of stars depends on the rate at which they consume their nuclear fuel, which is governed by their mass and internal energy production.
- Statement I: Incorrect.
Giant stars have much higher mass and energy output, leading to rapid consumption of nuclear fuel. As a result, they have shorter lifespans compared to smaller dwarf stars, which burn their fuel more slowly. - Statement II: Correct.
Giant stars have a greater rate of nuclear reactions due to higher core temperatures and pressures. This results in higher luminosity and faster energy release.
Key Takeaway: Massive (giant) stars burn fuel rapidly and live shorter lives, whereas smaller (dwarf) stars burn fuel slowly and have longer lifespans.