Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as: (where λ is the decay constant)

Question

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as: (where &#955; is the decay constant)

Quantrex Academy · Accepted Answer

Correct answer: D. l n 3 2 &#955;

3 N 0 4 = N 0 e - &#955; t 1 N 0 2 = N 0 e - &#955; 2 ln 3 / 4 = - &#955; t 1 &#160; &#8230; &#160; ( 1 ) ln 1 / 2 = - &#955; t 2 &#160; &#8230; &#160; ( 2 ) ln 3 / 4 - ln 1 / 2 = &#955; t 2 - t 1 &#160; &#8230; &#160; ( 3 ) &#916; t = ln 3 / 2 &#955;

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as: (where λ is the decay constant)

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More from Nuclear Physics

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as: (where &#955; is the decay constant)

Options

Correct answer

Step-by-step solution

More from Nuclear Physics

Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarter of the nuclei have decayed and when half of the nuclei have decayed is given as: (where λ is the decay constant)