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At any instant, the ratio of the amount of two radioactive substances is 2 : 1. If their half lives be respectively 12 h and 16 h, then after one days what will be the ratio of the substances?

a
2:1
b
2 : 1
c
1 : 2
d
1 : 4

detailed solution

Correct option is A

N1N01=12t/T1  and  N2N02=12t/T2∴  N1N2.N02N01=2t1T2−1T1⇒N1N2.12=224116−112=2−12⇒N1N2=2

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