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JEE PHYSICS MCQ: NUCLEI

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The nuclei of two radioactive isotopes of same substance A236\mathrm{A}^{236} and A234\mathrm{A}^{234} are present in the ratio 4:14: 1 in an ore obtained from Mars. Their half lives are 30 min30 \mathrm{~min} and 60 min60 \mathrm{~min} respectively. Both isotopes are alpha emitters and the activity of the isotope with half life 30 min\mathrm{min} is one Rutherford. Calculate after how much time (in min) their activities will become identical.
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Correct option: A
180
Option A (180) is correct because it is the time when the activities of both isotopes will be equal, calculated using their half-lives and initial ratio.

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