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Question

10% of a radioactive sample has decayed 2 days, decayed percentage be:

A
19%
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B
30%
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C
81%
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D
100%
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Solution

The correct option is A 19%

10% of radioactive sample is decayed means,N0

Let N is the number of nuclei left, N=90

So,

N=N0eλt

NN0=e2λ

90100=e2λ

910=e2λ

ln(910)=2λ...........(1)

Left nuclei is

N=N0e2λ

N=N0eln910×2

N=N081100

So, 81% is left.

Decayed nuclei is 19%


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