What would be the mean life of `._(27)Co^(60)`, if half-life period is 5.3 years?

Options

A. 2791 days
B. 3080 days
C. 1918 days
D. 4000 days

Answer

A

Explanation

Given, half-life period, `t_(1//2)=5.3` years
`=5.3xx365xx24xx3600`
`=1.67xx10^(8)s`
Decay constant, `lamda=(0.693)/(t_(1//2))=(0.693)/(1.67xx10^(8))`
`lamda=4.14xx10^(-9)s^(-1)`
We know, mean life `=(1)/(lamda)=(1)/(0.556xx10^(-8) cong 1.79xx10^(8)s`
`=(1.79xx10^(8))/(60xx60xx24)` days