Question

The half life time of 2g sample of radioactive nuclide 'X' is 15 min. The Half time of 1 g sample of Xis

• A. 7.5 min
• B. 15 min
• C. 22.5 min
• D. 30 min

Answer 1

Answer: (B)

15 min

The half-life time of first order reaction is given by

$T_{1/2}=\frac{ln\left(2\right)}{\lambda }$. . . . . . (1)

From the above equation, the half-life time is independent of the initial concentration of a substance. So, the half-life time of $1g$ sample is $15min$.

The correct option is B.