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Atoms and Nuclei question

2024 · 9 Apr · Shift 1 · Q87
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Atoms and Nuclei question

2024 · 9 Apr · Shift 1 · Q87

JEE MainPhysicsAtoms and NucleiNumerical+4 / −1
A star has 100%100 \%100% helium composition. It starts to convert three 4He{ }^4 \mathrm{He}4He into one 12C{ }^{12} \mathrm{C}12C via triple alpha process as 4He+4He+4He→12C+Q{ }^4 \mathrm{He}+{ }^4 \mathrm{He}+{ }^4 \mathrm{He} \rightarrow{ }^{12} \mathrm{C}+\mathrm{Q}4He+4He+4He→12C+Q. The mass of the star is 2.0×1032 kg2.0 \times 10^{32} \mathrm{~kg}2.0×1032 kg and it generates energy at the rate of 5.808×1030 W5.808 \times 10^{30} \mathrm{~W}5.808×1030 W. The rate of converting these 4He{ }^4 \mathrm{He}4He to 12C{ }^{12} \mathrm{C}12C is n×1042 s−1\mathrm{n} \times 10^{42} \mathrm{~s}^{-1}n×1042 s−1, where n\mathrm{n}n is ‾\underline{\hspace{2cm}}​. [ Take, mass of 4He=4.0026u{ }^4 \mathrm{He}=4.0026 \mathrm{u}4He=4.0026u, mass of 12C=12u{ }^{12} \mathrm{C}=12 \mathrm{u}12C=12u]
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