1.

In a radioactive substance at `t = 0`, the number of atoms is `8 xx 10^4`. Its half-life period is `3` years. The number of atoms `1 xx 10^4` will remain after interval.A. 9 yearsB. 8 yearsC. 6 yearsD. 24 years

Answer» Correct Answer - A
(a) By formula `N = N_0((1)/(2))^(t//T)`
or `10^4 = 8 xx 10^4 ((1)/(2))^(t//3)`
or `((1)/(8)) = ((1)/(2))^(t//3)` or `((1)/(2))^3 = ((1)/(2))^(t//3) rArr 3 = (t)/(3)`
Hence `t = 9 years`.


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