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Question

Half life of radioactive decay of C14 is 5730 years. How much time it will take so that 25% of C14 was found in sample ?

A
5730 years
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B
11460 years
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C
22920 years
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D
930 years
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Solution

The correct option is B 11460 years

Since radioactive decay is first order reaction. So Half life is given by -:
t=0.693k
k=0.6935730

k=2.303tlog[A]0[A]
t=2.303×57300.693log[100][25]
t=19042×0.6020
t11460 years


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