In a sample of wood, the reading of a counter is \( 32 \mathrm{dpm} \) and in a fresh sample of ...

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In a sample of wood, the reading of a counter is \( 32 \mathrm{dpm} \) and in a fresh sample of tree it is \( 122 \mathrm{dpm} \). Due to error counter gives the reading \( 2 \mathrm{dpm} \) in absence of \( { }^{14} \mathrm{C} \). Half life of \( { }^{14} \mathrm{C} \) is 5770 years.
The approximate age (in years) of wood sample is:
(a) \( 7997.2 \)
(b) 57570
(c) 11,540
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