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Atoms and Nuclei question

2019 · Shift 1 · Q37
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Atoms and Nuclei question

2019 · Shift 1 · Q37

JEE AdvancedPhysicsAtoms and NucleiMCQ+3 / −1
In a radioactive sample, 1940K{}_{19}^{40}K1940​K nuclei either decay into stable 2040Ca{}_{20}^{40}Ca2040​Ca nuclei with decay constant 4.5 ×\times× 10-10 per year or into stable 1840Ar{}_{18}^{40}Ar1840​Ar nuclei with decay constant 0.5 ×\times× 10-10 per year. Given that in this sample all the stable 2040Ca{}_{20}^{40}Ca2040​Ca and 1840Ar{}_{18}^{40}Ar1840​Ar nuclei are produced by the 1940K{}_{19}^{40}K1940​K nuclei only. In time t ×\times× 109 years, if the ratio of the sum of stable 2040Ca{}_{20}^{40}Ca2040​Ca and 1840Ar{}_{18}^{40}Ar1840​Ar nuclei to the radioactive 1940K{}_{19}^{40}K1940​K nuclei is 99, the value of t will be [Given : In 10 = 2.3]
  1. A
    9.2
  2. B
    1.15
  3. C
    4.6
  4. D
    2.3
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