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Q.

A and B are of two radioactive substances whose half-lives are 2 and 4 years respectively. Initially 10 g of A and 5 g of B is taken. The time (approximately) after which they will have same remaining quantity.

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An Intiative by Sri Chaitanya

a

10 years

b

6 years

c

3 years

d

4 years

answer is D.

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Detailed Solution

N1=N0112n1N2=N0212n2⇒N02N01=12n1−n2⇒510=12tt1−tt212=12tt2−t1t1t2⇒12=12t4⇒t4=1⇒t=4yr

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