The half life period of radium is $1600$ years. The fraction of a sample of radium that would remain after $6400$ years is
The half life period of radium is $1600$ years. The fraction of a sample of radium that would remain after $6400$ years is
- [AIPMT 1991]
- A
$\frac{1}{4}$
- B
$\frac{1}{2}$
- C
$\frac{1}{8}$
- D
$\frac{1}{{16}}$
Similar Questions
If a radioactive element having half-life of $30\,min$ is undergoing beta decay, the fraction of radioactive element remains undecayed after $90\,min$. will be :
If a radioactive element having half-life of $30\,min$ is undergoing beta decay, the fraction of radioactive element remains undecayed after $90\,min$. will be :
- [JEE MAIN 2023]
The activity of a radioactive sample is measured as $9750$ counts per minute at $t = 0$ and as $975$ counts per minute at $t = 5$ minutes. The decay constant is approximately ............ per minute
The activity of a radioactive sample is measured as $9750$ counts per minute at $t = 0$ and as $975$ counts per minute at $t = 5$ minutes. The decay constant is approximately ............ per minute
If a radioactive substance reduces to $\frac{1}{{16}}$ of its original mass in $40$ days, what is its half-life .........$days$
If a radioactive substance reduces to $\frac{1}{{16}}$ of its original mass in $40$ days, what is its half-life .........$days$
- [AIIMS 2003]
In a mean life of a radioactive sample
In a mean life of a radioactive sample
Sometimes a radioactive nucleus decays into a nucleus which itself is radioactive. An example is
$\mathop {^{38}S}\limits_{sulpher} \xrightarrow[{ - 2.48\,h}]{{half\,year}}\mathop {^{38}Cl}\limits_{chloride} \xrightarrow[{ - 0.62\,h}]{{half\,year}}\mathop {^{38}Ar}\limits_{Argon} $
Assume that we start with $1000$ $^{38}S$ nuclei at time $t = 0$. The number of $^{38} Cl$ is of count zero at $ t=0$ an will again be zero at $t = \infty $. At what value of $t,$ would the number of counts be a maximum ?
Sometimes a radioactive nucleus decays into a nucleus which itself is radioactive. An example is
$\mathop {^{38}S}\limits_{sulpher} \xrightarrow[{ - 2.48\,h}]{{half\,year}}\mathop {^{38}Cl}\limits_{chloride} \xrightarrow[{ - 0.62\,h}]{{half\,year}}\mathop {^{38}Ar}\limits_{Argon} $
Assume that we start with $1000$ $^{38}S$ nuclei at time $t = 0$. The number of $^{38} Cl$ is of count zero at $ t=0$ an will again be zero at $t = \infty $. At what value of $t,$ would the number of counts be a maximum ?