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A parent nucleus X is decaying into daug...

A parent nucleus X is decaying into daughter nucleus Y which in turn decays to Z. The half lives of X and Y are 40000 years and 20 years respectively. In a certain sample, it is found that the number of Y nuclei hardly changes with time. If the number of X nuclei in the sample is `4 xx 10^(20)`, the number of Y nuclei present in its is–

A

`2 xx 10^(17)`

B

`2 xx 10^(20)`

C

`4 xx 10^(23)`

D

`4 xx 10^(20)`

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The correct Answer is:
A
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