Question

Pick the correct option given the following statements:
Statement I Nuclide ${}_{13}^{30}Al$ is less stable than ${}_{20}^{40}Ca$
Statement II Nuclides having odd number of protons and neutrons are generally unstable.

• A. Statement I is true; Statement II is true; Statement II is the correct explanation of Statement I
• B. Statement I is true; Statement II is true; Statement II is not the correct explanation of Statement I
• C. Statement I is true; Statement II is false
• D. Statement I is false; Statement II is true

Answer 1

The correct option is B Statement I is true; Statement II is true; Statement II is not the correct explanation of Statement I

Upto atomic number of 20, stable nuclei possess neutron to proton ratio $\left(\frac{n}{p}\right)=1$
$\frac{n}{p}{(}_{13}A{l}^{30})=\frac{17}{13}=1.3>1$, unstable, $\beta -$ emitters.
$\frac{n}{p}{(}_{20}C{a}^{40})=\frac{20}{20}=1$, stable.
Also, nuclei with both neutrons and protons odd are usually unstable but it does not explain the assertion appropriately.