There are two radionuclei $A$ and $B.$ $A$ is an alpha emitter and $B$ is a beta emitter. Their distintegration constants are in the ratio of $1 : 2.$ What should be the ratio of number of atoms of two at time $t = 0$ so that probabilities of getting $\alpha$ and $\beta$ particles are same at time $t = 0.$

  • A

    $2 : 1$

  • B

    $1 : 2$

  • C

    $e$

  • D

    $e^{-1}$

Similar Questions

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]

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

A radioactive substance is being produced at a constant rate of $10\, nuclei/s.$ The decay constant of the substance is $1/2\, sec^{-1}.$ After what time the number of radioactive nuclei will become $10$ $?$ Initially there are no nuclei present. Assume decay law holds for the sample.

The ratio activity of an element becomes $\frac{{1}}{{64}} th$ of its original value in $60\, sec$. Then the half life period is ............$sec$

In a radioactive sample there are $1.414 \times 10^6$ active nuclei. If they reduce to $10^6$  within $10\, minute$ then the half life of this sample will be ....... $min$