एक रेडियोधर्मी पदार्थ की अर्धआयु 4 महीना है; इस पदार्थ का 3/4 भाग क्षय होने में कितना समय लगेगा ?

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UKPSC Combined Upper PCS (Prelims) Exam (General Studies) Official Paper-I (Held On: 14 Jul, 2024)
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  1. 12 महीने
  2. 8 महीने
  3. 4 महीने
  4. 3 महीने

Answer (Detailed Solution Below)

Option 2 : 8 महीने
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सही उत्तर विकल्प 2 है।

Key Points

  • अर्ध-आयु (T₁/₂) = किसी रेडियोधर्मी पदार्थ के आधे भाग के क्षय होने में लगा समय।
  • आइए इसे समझते हैं:
    • 1 अर्ध-आयु (4 महीने) के बाद → पदार्थ का 50% शेष रहता है।
    • 2 अर्ध-आयु (8 महीने) के बाद →
      • शेष 50% का आधा क्षय हो जाता है
      • इसलिए केवल 25% शेष रहता है
      • इसका मतलब है कि 75% (3/4) क्षय हो चुका है।
  • इसलिए, पदार्थ के 3/4 भाग के क्षय होने में 8 महीने लगते हैं।
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