Question
Download Solution PDFएक रेडियोधर्मी पदार्थ की अर्धायु 10 वर्ष है और इसका प्रारंभिक द्रव्यमान 1 g है। 20 वर्षों के बाद शेष मात्रा ________ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
अर्धायु \(t_{1/2}\)=10 वर्ष
प्रारम्भिक द्रव्यमान \(N_o\)=1g
समय T=20 वर्ष
संकल्पना:
अर्धायु: अर्धायु वह समय अवधि है जिसके बाद रेडियोधर्मी तत्व की आधी मात्रा क्षय हो जाती है।
n अर्धायु के बाद पदार्थ का अंश इस प्रकार दिया जाता है,
- \(N=\frac{N_o}{2^n}\)
जहां \(N_o\) प्रारंभिक द्रव्यमान है।
\(n=\frac{\text{Total time}}{\text{Half life}}=\frac{T}{t_{1/2}}\)
स्पष्टीकरण:
दिए गए सभी मानों को उपरोक्त सूत्र में रखें, हमें निम्न मिलता है,
\(n=\frac{T}{t_{1/2}}=\frac{20}{10}=2\ years\)
\(N=\frac{N_o}{2^n}=\frac{1}{2^2}\)
\(N=\frac{1}{4}=0.25g\)
अतः, सही उत्तर विकल्प-4-0.25 g है।
Last updated on Jun 19, 2025
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