Question

The decay constant of a radioactive element is 3 x 10^-6 min^-1. Its half-life is

(a) 2.31 x 10⁵ min

(b) 2.31 x 10⁶ min

(c) 2.31 x 10^-6 min

(d) 2.31 x 10^-7 min

Answer 1

Correct option is (a) 2.31 x 10⁵ min

\(t_{1/2} = \frac{0.693} \lambda \)

\(= \frac{0.693}{3 \times 10^{-6}} \)

\(= 2.31 \times 10^5 \) min