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Q.

The activity of a radioactive sample falls from 700s-1 to 500s-1 in 30 minute. Its half-life is close to:

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a

66

b

62

c

52

d

72

answer is B.

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Detailed Solution

Activity, A=A0e−λt​⇒A0A=eλt​⇒lnΑ0A=λt⇒ln700500=ln2t1/230min​⇒ln2ln7/5=t1/230min     ⇒t1/2=2.0600430=61.8min≃62 min
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