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 half-life of `3g` of sample of a radioactive species `.^(14)CO_(2)` is `2` minute. If `10g` sample of `.^(14)CO_(2)` is taken, the half-life would be:

Options

A. `2` minute
B. `1` minute
C. `(46)/(30)` minute
D. `(30)/(46)` minute

Answer

`a`

Explanation

Half-life `t_(1//2) = (0.693)/(K)`, independent of initial no. of atoms.