Embibe Experts Solutions for Exercise 1: Exercise

What do you know about radio-carbon dating ?

A radioactive material whose half-life is $30$ days contains ${10}^{12}$ atoms at any instant. Calculate the number of disintegrations per second. 

 What is meant by half-life of a radioactive element ? 

 What fraction of the radioactive cobalt nuclei, whose half-life is $71.3$ days, decays during a month?

A radioactive substance $X$ decays into another radioactive substance $Y$. Initially only $X$ was present, ${\lambda }_x$ and ${\lambda }_y$ are the disintegration constants of $X$ and $Y$ at any time $t$. Number of nuclei $N_y$ will be maximum when

The half-life of ${\mathrm{At}}^{215}$ is $100 \mathrm{\mu s}$. If a sample contains $215 \mathrm{mg}$ of ${\mathrm{At}}^{215}$, the activity of the sample is

During the $\beta$-decay

Pick out the incorrect statement from the following.