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Question

The activity of a radioactive element reduces to (1/16)th of its original value in 30 years. Find its half life?

A
7.5 yrs
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B
75 yrs
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C
7.5 days
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D
75 month
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Solution

The correct option is A 7.5 yrs
N=N0eλt
N016=N0eλ30
116=e30λ
ln16=30λ
λ=ln1630
λ=4ln230
Half life t0.5=ln2λt0.5=ln24ln230t0.5=304
t0.5=7.5 yrs
Hence option 'A' is correct.

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