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Q.

A radioactive sample undergoes decay as per the following graph. At time t=0, the  number of  undecayed nuclei is N0 . Calculate the number of nuclei left after 10s.  given loge(2)=0.693

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a

N0/e2

b

N0/e10

c

N0/e4

d

N0/e6.93

answer is A.

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Detailed Solution

t=0,N=N0t=6.93,N=N0/4N0/4is the sample left after two half-lives∴2t1/2=6.93⇒2×0.693λ=6.93⇒λ=0.2sec−1⇒t=10sec∴N=N0e−λt=N0e−0.2×10=N0e2
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A radioactive sample undergoes decay as per the following graph. At time t=0, the  number of  undecayed nuclei is N0 . Calculate the number of nuclei left after 10s.  given loge(2)=0.693