A star 10 times more massive than the Sun fuses hydrogen to helium 3,000 times faster than the Sun.If the Sun spends 10 billion years on the main sequence,how long will the more massive star remain there? A) 10¹¹ years B) 10⁹ years C) 3 × 10⁷ years D) 3 × 10⁶ years

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Quizplus · Accepted Answer

The time a star spends on the main sequence is inversely proportional to its mass to the power of 3.5. So, a star that is 10 times more massive than the Sun will spend (1/10)^3.5 = 1/3162.28 times as long on the main sequence as the Sun, which is approximately 3 × 10^17 years.

A Star 10 Times More Massive Than the Sun Fuses