Question

The average life T and the decay constant $\lambda$ of a radioactive nucleus are related as.

• A. $T\lambda = 1$
• B. $T = \frac{0.693}{\lambda}$
• C. $\frac{T}{\lambda} = 1$
• D. $\lambda_{1},\mspace{6mu}\lambda_{2},\mspace{6mu}\lambda_{3}$

Answer 1

Answer: (A)

$T\lambda = 1$

Answer 2

Average life $T = \frac{\text{Sum of all lives of all the atom}}{\text{Total number of atoms }} = \frac{1}{\lambda}$⇒ Tλ = 1