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13.Nuclei
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If one starts with one curie of radioactive substance ($T_{1/2} = 12\,hrs$) the activity left after a period of $1$ week will be about
A
$1\, curie$
B
$120 \,micro \,curie$
C
$60\, micro \,curie$
D
$8\, mili \,curie$
Solution
(c) $1$ week $\approx 7 \, days \simeq 7 × 24\, hrs \simeq 14\,$ half lives
Number of atoms left $ = \frac{{No}}{{{{(2)}^{14}}}}$, Activity =$N\lambda $
$\therefore$ Activity left is $\frac{1}{{{{(2)}^{14}}}}$ times the initial
==> $\frac{1}{{{{(2)}^{14}}}} \times 1$ curie .
$= \frac{1}{{16384}} \times 1$ curie$ \cong $ $61 \times {10^{ – 6}}$ curie
$ \approx 60\mu \, curie.$
Standard 12
Physics
Similar Questions
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 |
normal
hard