16:I[8216,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"BackButton"] 17:I[1553,["972","static/chunks/972-b28da0de92681928.js","47","static/chunks/47-a7f06e9eda1ac756.js","115","static/chunks/app/%5Bexam%5D/questions/%5Byear%5D/%5Bsubject%5D/%5Bchapter%5D/%5BquestionId%5D/page-7b6f0a12b9cc0206.js"],"QuestionViewer"] 15:T518,{"@context":"https://schema.org","@type":"Quiz","name":"Ap Eapcet 2024 Atoms And Nuclei PYQ with Solution","url":"https://pyq-test-series-platform-alsjdcxu2-sameers-projects-41c5a71e.vercel.app/ap-eapcet/questions/2024/physics/atoms-and-nuclei/m88c5im9","educationalLevel":"Entrance exam preparation","about":"Ap Eapcet / Physics / Atoms And Nuclei","hasPart":{"@type":"Question","name":"Ap Eapcet 2024 Atoms And Nuclei PYQ with Solution","text":"A mixture consists of two radioactive materials A_1 and A_2 with half lives of 20 s and 10 s respectively. Initially, the mixture has 40 g of A_1 and 160 g of A_2. The amount of the two in the mixture will become equal after","eduQuestionType":"mcq","acceptedAnswer":{"@type":"Answer","text":"D"},"comment":{"@type":"Comment","text":"Given: Initial amount of A_1 = 40 \\, \\text{g} Initial amount of A_2 = 160 \\, \\text{g} Half-life of A_1, T_{A_1} = 20 \\, \\text{s} Half-life of A_2, T_{A_2} = 10 \\, \\text{s} To determine when the amounts of A_1 and A_2 will be equal, we use the decay formula: N = N_0 \\left(\\frac{1}{2}\\right)^{t/T} For A_1 , the remaining amount is: N_{A_1} = 40 \\left(\\frac{1}{2}\\right)^{t/20} For A_2 , the remaining amount is: N_{A_2} = 160 \\left(\\frac{1}{2}\\right)^{t/10} To find the time when these amounts are e..."}}}18:T41f,

Given:

Initial amount of $ A_1 = 40 \, \text{g} $

Initial amount of $ A_2 = 160 \, \text{g} $

Half-life of $ A_1, T_{A_1} = 20 \, \text{s} $

Half-life of $ A_2, T_{A_2} = 10 \, \te

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