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

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Correct option is B

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