A radioactive material of half-life ln2 was produced in a nuclear reactor. Consider two different instants A and B. The number of undecayed nuclei at instant B was twice of that of instant A. If the activities at instants A and B are $${{A}_{1}}$$ and $${{A}_{2}}$$ respectively then the difference in the age of the sample at these instants equals.

Question

A radioactive material of half-life ln2 was produced in a nuclear reactor. Consider two different instants A and B. The number of undecayed nuclei at instant B was twice of that of instant A. If the activities at instants A and B are  $${{A}_{1}}$$ and $${{A}_{2}}$$ respectively then the difference in the age of the sample at these instants equals.

TuteeHUB · Accepted Answer

$$\ell n2\left| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right|$$

TuteeHUB · Answer

$$\left| \ell n\left( \frac{2{{A}_{1}}}{{{A}_{2}}} \right) \right|$$

TuteeHUB · Answer

$$\left| \ell n\left( \frac{{{A}_{1}}}{2{{A}_{2}}} \right) \right|$$

1.	A radioactive material of half-life ln2 was produced in a nuclear reactor. Consider two different instants A and B. The number of undecayed nuclei at instant B was twice of that of instant A. If the activities at instants A and B are \[{{A}_{1}}\] and \[{{A}_{2}}\] respectively then the difference in the age of the sample at these instants equals.
A.	\[\left\| \ell n\left( \frac{2{{A}_{1}}}{{{A}_{2}}} \right) \right\|\]
B.	\[\ell n2\left\| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right\|\]
C.	\[\left\| \ell n\left( \frac{{{A}_{1}}}{2{{A}_{2}}} \right) \right\|\]
D.	\[\ell n2\left\| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right\|\]
Answer» D. \[\ell n2\left\| \ell n\left( \frac{{{A}_{1}}}{{{A}_{2}}} \right) \right\|\]

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