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`""^(14)C` के रेडियोएक्टिव क्षय की अर्द्ध-आयु 5730 वर्ष हैं। पुरातातिवक लकड़ी के एक नमूने में एक जीवित वृक्ष की तुलना में `""^(14)C` की मात्रा `80%` हैं। नमूने की आयु की निर्धारण कीजिये।

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`t=(2.303)/(k) log_(10)([A]_(0))/[A]`
`=2.303/(0.693//5730) log_(10) 100/80 (therefore k=(0.693)/t_(1//2))`
`=(2.303 xx 5730)/(0.693)log_(10) 100/80`
`=1845.37` वर्ष

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