1. | \({ }_{12}^{22} \mathrm{Mg}\) | 2. | \({ }_{11}^{23} \mathrm{Na}\) |
3. | \({ }_{10}^{23} \mathrm{Ne}\) | 4. | \(_{10}^{22}\textrm{Ne}\) |
1. | \(25:16\) | 2. | \(1:1\) |
3. | \(4:5\) | 4. | \(5:4\) |
At some instant, the number of radioactive atoms in a sample is \(N_0\) and after time \(t\), the number decreases to \(N\). It is found that the graphical representation \(\mathrm{ln} N\) versus \(t\) along the \(y\) and \(x\) axis respectively is a straight line. Then the slope of this line is:
1. \(\lambda\)
2. \(-\lambda\)
3. \(\lambda^{-1}\)
4. \(-\lambda^{-1}\)
The fraction of the original number of radioactive atoms that disintegrates (decays) during the average lifetime of a radioactive substance will be:
1. \(\frac{1}{e}\)
2. \(\frac{1}{1+e}\)
3. \(\frac{e-1}{e+1}\)
4. \(\frac{e-1}{e}\)
Statement-I: | The law of radioactive decay states that the number of nuclei undergoing the decay per unit time is inversely proportional to the total number of nuclei in the sample. |
Statement-II: | The half life of a radionuclide is the sum of the left time of all nuclei, divided by the initial concentration of the nuclei at time \(t=0.\) |
1. | Both Statement-I and Statement-II are correct. |
2. | Both Statement-I and Statement-II are incorrect. |
3. | Statement-I is correct but Statement-II is incorrect. |
4. | Statement-I is incorrect but Statement-II is correct. |