A radioactive nucleus decays by two difference processes. The half life for the first process is 10s and that for the second is 100s . The effective half life of the nucleus is closes to:
A radioactive nucleus decays by two difference processes. The half life for the first process is 10s and that for the second is 100s . The effective half life of the nucleus is closes to:
Option 1 - <p>6 sec.</p>
Option 2 - <p>9 sec.</p>
Option 3 - <p><span class="mathml" contenteditable="false"> <math> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>10</mn> </mrow> </mrow> </msup> <mtext> </mtext> <mi mathvariant="normal">m</mi> </math> </span>.</p>
Option 4 - <p><span class="mathml" contenteditable="false"> <math> <msup> <mrow> <mrow> <mn>10</mn> </mrow> </mrow> <mrow> <mrow> <mo>-</mo> <mn>3</mn> </mrow> </mrow> </msup> <mtext> </mtext> <mi mathvariant="normal">m</mi> </math> </span>.</p>
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N = N0e–λt
->t = λN = N0/e
So number of nuclei decayed = N0 – N
= N0 (1- 1/e)
Density of nuclei is order of 1017 kg m–3.
Density of nuclei is order of 1017 kg m-3.
Number of half lives of Y = 3
Number of half lives of X = 6 [As half life of X is half of that of Y].
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Physics Nuclei 2025
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