If $T$ is the half life of a radioactive material, then the fraction that would remain after a time $\frac{T}{2}$ is
If $T$ is the half life of a radioactive material, then the fraction that would remain after a time $\frac{T}{2}$ is
- A
$\frac{1}{2}$
- B
$\frac{3}{4}$
- C
$\frac{1}{{\sqrt 2 }}$
- D
$\frac{{\sqrt 2 - 1}}{{\sqrt 2 }}$
Similar Questions
Half life of radioactive element is $12.5\; Hour$ and its quantity is $256\; gm$. After how much time (in $Hours$) its quantity will remain $1 \;gm$
Half life of radioactive element is $12.5\; Hour$ and its quantity is $256\; gm$. After how much time (in $Hours$) its quantity will remain $1 \;gm$
- [AIPMT 2001]
The activity $R$ of an unknown radioactive nuclide is measured at hourly intervals. The results found are tabulated as follows:
$t(h)$
$0$
$1$
$2$
$3$
$4$
$R(MBq)$
$100$
$35.36$
$12.51$
$4.42$
$1.56$
$(i)$ Plot the graph of $R$ versus $t$ and calculate half-life from the graph.
$(ii)$ Plot the graph of $\ln \left( {\frac{R}{{{R_0}}}} \right) \to t$ versus $t$ and obtain the value of half-life from the graph.
The activity $R$ of an unknown radioactive nuclide is measured at hourly intervals. The results found are tabulated as follows:
| $t(h)$ | $0$ | $1$ | $2$ | $3$ | $4$ |
| $R(MBq)$ | $100$ | $35.36$ | $12.51$ | $4.42$ | $1.56$ |
$(i)$ Plot the graph of $R$ versus $t$ and calculate half-life from the graph.
$(ii)$ Plot the graph of $\ln \left( {\frac{R}{{{R_0}}}} \right) \to t$ versus $t$ and obtain the value of half-life from the graph.
The half-life of a radioactive substance is $30$ minutes. The times (in minutes ) taken between $40\%$ decay and $85\%$ decay of the same radioactive substance is
The half-life of a radioactive substance is $30$ minutes. The times (in minutes ) taken between $40\%$ decay and $85\%$ decay of the same radioactive substance is
- [NEET 2016]
Half life of radioactive element depends upon
Half life of radioactive element depends upon
In the radioactive decay of an element it is found that the count rate reduces from 1024 to $128$ in $3$ minutes. Its half life will be ...... minute
In the radioactive decay of an element it is found that the count rate reduces from 1024 to $128$ in $3$ minutes. Its half life will be ...... minute