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A piece of wood from an archaeological source shows a `.^(14)C` activity which is `60%` of the activity found in fresh wood today. Calculate the age o

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A piece of wood from an archaeological source shows a . 14 C . activity which is 60 % 60 of the activity found in fresh wood today. Calculate the age of the archaeological sample. ( t 1 / 2 t for . 14 C = 5570 . year) Select the correct answer from above options

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Correct Answer - 4252 years ( a a − x ) = N 0 N = 100 60 ( K = 0.693 t 1 / 2 = 0.693 57770 K ∴ t = 2.303 K log ( N 0 N ) ∴ = 2.303 × 5770 y e a r 0.693 log ( 100 60 ) = ∴ t = 2.303 K log ( N 0 N ) ∴ = ( 2.303 × 5770 y e a r ) / ( 0.693 ) ( 2 − 1.7781 ) = = 4252 y e a r s =

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