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Q.

Half life of a radio active material is 5 hours. Then after what time number of undecayed nucleus of a sample of the radio active material will be equal to two times the number of decayed nucleus?

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a

5×ln3−ln2ln3

b

5ln3−ln2hr

c

5×ln3ln2hr

d

5×ln1.5ln2hr

answer is D.

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Detailed Solution

N0e−λt=2N01−e−λt⇒32e−λt=1⇒eλt=32⇒t=ln 32λ=T×ln3−ln2ln2
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