$x$ fraction of a radioactive sample decay in $t$ time. How much fraction will decay in $2t$ time
$x$ fraction of a radioactive sample decay in $t$ time. How much fraction will decay in $2t$ time
- A
$1-x^2$
- B
$2x-x^2$
- C
$1+x^2$
- D
$2x+x^2$
Similar Questions
Two radioactive substances $X$ and $Y$ originally have $N _{1}$ and $N _{2}$ nuclei respectively. Half life of $X$ is half of the half life of $Y$. After three half lives of $Y$, number of nuclei of both are equal. The ratio $\frac{ N _{1}}{ N _{2}}$ will be equal to
Two radioactive substances $X$ and $Y$ originally have $N _{1}$ and $N _{2}$ nuclei respectively. Half life of $X$ is half of the half life of $Y$. After three half lives of $Y$, number of nuclei of both are equal. The ratio $\frac{ N _{1}}{ N _{2}}$ will be equal to
- [JEE MAIN 2021]
The decay constant of a radio active substance is $0.173\, (years)^{-1}.$ Therefore :
The decay constant of a radio active substance is $0.173\, (years)^{-1}.$ Therefore :
Obtain the amount of $_{27}^{60} Co$ necessary to provide a radioactive source of $8.0\; mCi$ strength. The half-life of $^{60}_{27} Co$ is $5.3$ years.
Obtain the amount of $_{27}^{60} Co$ necessary to provide a radioactive source of $8.0\; mCi$ strength. The half-life of $^{60}_{27} Co$ is $5.3$ years.
Draw a graph showing the variation of decay rate with number of active nuclei.
Draw a graph showing the variation of decay rate with number of active nuclei.
Two radioactive samples $A$ and $B$ have half lives $T_1$ and $T_2\left(T_1 > T_2\right)$ respectively At $t=0$, the activity of $B$ was twice the activity of $A$. Their activity will become equal after a time
Two radioactive samples $A$ and $B$ have half lives $T_1$ and $T_2\left(T_1 > T_2\right)$ respectively At $t=0$, the activity of $B$ was twice the activity of $A$. Their activity will become equal after a time