Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$
column $I$ | column $II$ |
$(A.)$Nuclear fusion | $(P.)$ Absorption of thermal neutrons by ${ }_{92}^{213} U$ |
$(B.)$Fission in a nuclear reactor | $(Q.)$ ${ }_{27}^{60} Co$ nucleus |
$(C.)$ $\beta$-decay | $(R.)$ Energy production in stars via hydrogen conversion to helium |
$(D.)$ $\gamma$-ray emission | $(S.)$ Heavy water |
$(T.)$ Neutrino emission |
$( A ) \rightarrow( R , T ) ;( B ) \rightarrow( P , S ) ;( C ) \rightarrow( P , Q , R , T ) ;( D ) \rightarrow( P , Q , R , T )$
$( A ) \rightarrow( R , S ) ;( B ) \rightarrow( P , T ) ;( C ) \rightarrow( P , Q , R , S ) ;( D ) \rightarrow( P , Q , R , S )$
$( A ) \rightarrow( R , S ) ;( B ) \rightarrow( P , Q ) ;( C ) \rightarrow( P , Q , R , S ) ;( D ) \rightarrow( P , Q , T , S )$
$( A ) \rightarrow( P , T ) ;( B ) \rightarrow( Q , S ) ;( C ) \rightarrow( Q , R , S , T ) ;( D ) \rightarrow( P , R , S , T )$
A element used for radioactive carbon dating for more than $5600$ years is
If a radioactive substance reduces to $\frac{1}{{16}}$ of its original mass in $40$ days, what is its half-life .........$days$
Two radioactive nuclei $P$ and $Q,$ in a given sample decay into a stable nucleus $R.$ At time $t = 0,$ number of $P$ species are $4\,\, N_0$ and that of $Q$ are $N_0$. Half-life of $P$ (for conversion to $R$) is $1$ minute where as that of $Q$ is $2$ minutes. Initially there are no nuclei of $R$ present in the sample. When number of nuclei of $P$ and $Q$ are equal, the number of nuclei of $R$ present in the sample would be
Two species of radioactive atoms are mixed in equal number. The disintegration constant of the first species is $\lambda$ and of the second is $\lambda / 3$. After a long time the mixture will behave as a species with mean life of approximately
${ }^{131} I$ is an isotope of Iodine that $\beta$ decays to an isotope of Xenon with a half-life of $8$ days. A small amount of a serum labelled with ${ }^{131} \mathrm{I}$ is injected into the blood of a person. The activity of the amount of ${ }^{131} \mathrm{I}$ injected was $2.4 \times 10^5$ Becquerel $(\mathrm{Bq})$. It is known that the injected serum will get distributed uniformly in the blood stream in less than half an hour. After $11.5$ hours, $2.5 \mathrm{ml}$ of blood is drawn from the person's body, and gives an activity of $115 \mathrm{~Bq}$. The total volume of blood in the person's body, in liters is approximately (you may use $\mathrm{e}^{\mathrm{x}} \approx 1+\mathrm{x}$ for $|\mathrm{x}| \ll 1$ and $\ln 2 \approx 0.7$ ).