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Q.

A radioactive sample  of  U238 decay to Pb  through a process of which half life is 4.5 x 109 years. The ratio of number of nuclei of Pb to U238 after a time of 1.5 x 109 years (given NN0=1.26)

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a

0.12

b

0.26

c

1.2

d

0.37

answer is B.

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Detailed Solution

Here NN0=12n=121/3where n = Number of half lives =13⇒NN0=11.26⇒NUNpb+NU=11.26 ⇒Npb=0.26NU⇒NpbNU=0.26
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