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JEE PHYSICS MCQ: NUCLEI

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Carbon (Z=6)(Z=6) with mass number 11 decays to boron (Z=5)(Z=5). (a) Is it a β+\beta^{+}-decay or a β−\beta^{-}-decay? (b) The half-life of the decay scheme is 20.3 minutes. How much time will elapse before a mixture of 90%90 \% carbon-11 and 10%10 \% boron-11 (by the number of atoms) converts itself into a mixture of 10%10 \% carbon-11 and 90%90 \% boron- 11?
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Correct option: A
(a) β+;\beta^{+}; (b) 64 min64 \mathrm{~min}
Option A ((a) β+;\beta^{+}; (b) 64 min64 \mathrm{~min}) is correct because carbon decays to boron via positron emission, and the time for the conversion is approximately 64 minutes.

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