Consider a radioactive material of half-life $1.0 \, minute$. If one of the nuclei decays now, the next one will decay

  • A

    After $1$ minute

  • B

    After $\frac{1}{{{{\log }_e}\,2}}$ minute

  • C

    After $\frac{1}{N}$ minute, where $N$ is the number of nuclei present at that moment

  • D

    After any time

Similar Questions

The half life period of a radioactive substance is $5\, min$. The amount of substance decayed in $20\, min$ will be..........$\%$

According to classical physics, $10^{-15}\ m$ is distance of closest approach $(d_c)$ for fusion to occur between two protons. A more accurate and quantum approach says that ${d_c} = \frac{{{\lambda _p}}}{{\sqrt 2 }}$ where $'\lambda _p'$ is de-broglie's wavelength of proton when they were far apart. Using quantum approach, find equation of temperature at centre of star. [Given: $M_p$ is mass of proton, $k$ is boltzman constant]

The decay constant of radium is $4.28 \times {10^{ - 4}}$ per year. Its half life will be ..........$years$

The activity of a radioactive material is $2.56 \times 10^{-3} \,Ci$. If the half life of the material is $5$ days, after how many days the activity will become $2 \times 10^{-5} \,Ci$ ?

  • [JEE MAIN 2022]

At any instant, two elements $X _1$ and $X _2$ have same number of radioactive atoms. If the decay constant of $X _1$ and $X _2$ are $10 \lambda$ and $\lambda$ respectively. then the time when the ratio of their atoms becomes $\frac{1}{e}$ respectively will be

  • [IIT 2000]