Q.

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

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a

1 : 1

b

2 : 1

c

1 : 2

d

1 : 4

answer is A.

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Detailed Solution

Number of half-lives in two days four substance 1 and 2 respectively are n1=2 x 2412=4 and n2=2 x 241.6=3By using N=N012n⇒N1N2=N01N02x12n112n2=21x124123=11
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At any instant the ratio of the amount of radioactive substances is 2 : 1. If their half-lives be respectively 12 and 16 hours, then after two days, what will be the ratio of the substances?