Half lives of two radioactive nuclei $A$ and $B$ are $10\, minutes$ and $20\, minutes$, respectively. If, initially a sample has equal number of nuclei, then after $60$ $minutes$ , the ratio of decayed numbers of nuclei $A$ and $B$ will be

  • [JEE MAIN 2019]
  • A

    $9 : 8$

  • B

    $1 : 8$

  • C

    $8 : 1$

  • D

    $3 : 8$

Similar Questions

Write a formula showing the relation between half life and average life of a radioactive substance.

The average life $T$ and the decay constant $\lambda $ of a radioactive nucleus are related as

The decay constant for a radioactive nuclide is $1.5 \times 10^{-5} s ^{-1}$. Atomic of the substance is $60\,g$ mole $^{-1},\left( N _{ A }=6 \times 10^{23}\right)$. The activity of $1.0\,\mu g$ of the substance is $.......\,\times 10^{10}\,Bq$

  • [JEE MAIN 2023]

After two hours, one- sixteenth of the starting amount of a certain radioactive isotope remained undecayed. The half life of the isotope is

$x$ fraction of a radioactive sample decay in $t$ time. How much fraction will decay in $2t$ time