1.

Radioactive disintergation always follow `I` order kinetics and is independent of all external factors and is represented by the relation `N = N_(0) e^(-lambda t)` where `lambda` is decay constant and `N` atoms are left at time `t`. The radioactive nature of element is expressed in terms of average life numerically equal to decay constant `(1//lambda)` however all the radioactive do not lose their radioactive nature in thier average life. The radioactive emission involves `alpha, beta` particles as well as `gamma-` rays.The penertrating power order is `alpha lt beta lt gamma`. The emissions can perntrate even thick steel walls but are however unable to penttrate `Pb` blocks. The `S` unit fo rate of decay is `dps`. The percentage of atoms decayed in average life of a radioactive element is:A. `36.78%`B. `63.22%`C. `3.678%`D. `6.322%`

Answer» Correct Answer - `d`
`t = (2.303)/(lambda) log (N_(0))/(N)`,
`:. (1)/(lambda) = (2.303)/(lambda) log (N_(0))/(N), (t = t_(av.) = (1)/(lambda))`
`:. (N_(0))/(N) = 2.71`
or `N = 0.3678xx N_(0) = 36.78%`
`:.` decayed `= 100 - 36.78 = 63.28`


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