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ifos • paper_2 • nuclear_particleifos-2010-subject-07-002

Nuclear Physics — UPSC IFoS 2010 Physics PYQ

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A star converts all its hydrogen into helium, achieving 100\% helium. It then converts the helium into carbon via the reaction {}^4_2\text{He} + ^4_2\text{He} + ^4_2\text{He} \xrightarrow{\quad} ^{12}_6\text{C} + 7.27\text{ MeV} The mass of the star is 5.0 \times 10^{32}\text{ kg} and it generates energy at the rate of 5 \times 10^{30}\text{ W}. How long will it take to convert all helium to carbon at this rate ?

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