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At a given instant there are 25% of undecayed radio–active nuclei in a sample. After 10s, the number of un-decayed nuclei reduces to 12.5%. The time in which the number of un-decayed nuclei will further reduced to 6.25% of the reduced number is,

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30 Sec

10 Sec

20 Sec

40 Sec

answer is C.

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Detailed Solution

From 25% to 12.5%
It is 10 sec $∴$ T = 10sec $∴$ from 12.5% to 6.25%
Time taken is T = 10sec

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