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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?

a
5×ln3−ln2ln3
b
5ln3−ln2hr
c
5×ln3ln2hr
d
5×ln1.5ln2hr

detailed solution

Correct option is D

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

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