Question

the half-life of a radioactive nucleus is 1.5x1e-8. what is this half-life in milliseconds(ms)?, in microseconds(us)? , in nanoseconds (ns)?, in picoseconds(ps)?, and in minutes?

Answer 1

The half-life of a radioactive nucleus is $1.5 \cdot 10^{-8}$ s. What is this half-life in milliseconds (ms), microseconds (μs), nanoseconds (ns), picoseconds (ps) and in minutes?

Answer: $1 \, \text{ms} = 10^{-3} \, \text{s}$; $1 \, \mu\text{s} = 10^{-6} \, \text{s}$; $1 \, \text{ns} = 10^{-9} \, \text{s}$; $1 \, \text{ps} = 10^{-12} \, \text{s}$; $1 \, \text{min} = 60 \, \text{s}$, then

$T_{1/2} = 1.5 \cdot 10^{-8} \, \text{s} = 1.5 \cdot 10^{-5} \, \text{ms} = 0.015 \, \mu\text{s} = 15 \, \text{ns} = 15,000 \, \text{ps} = 1.5 \cdot 10^{-8} / 60 \, \text{min} = 2.5 \cdot 10^{-10} \, \text{min}$.