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Each question contains STATEMENTS-1 (Ass...

Each question contains STATEMENTS-1 (Assertion) and STATEMENT -2 (Reason).
Examine the statements carefully and mark the correct answer according to the instructions given below:
STATEMENT-1: Nuclide `_(13)^(30)Al` is less stable than `_(20)^(40)Ca`.
STATEMENT-2: Nuclide having odd number of protons and neutrons are generally unstable.

A

If both the statements are TRUE and STATEMENT-2 is the correct explanation of STATEMENT-1

B

If both the statement are TRUE but STATEMENT-2 is NOT the correct explanation of STATEMENT-1

C

If STATEMENT-1 is TRUE and STATEMENT-2 is FALSE

D

If STATEMENT-1 is FALSE and STATEMENT-2 is TRUE

Text Solution

AI Generated Solution

The correct Answer is:
To solve the given question, we need to analyze both statements (Assertion and Reason) regarding the stability of the nuclides. ### Step-by-Step Solution: **Step 1: Analyze Statement-1** - **Statement-1**: Nuclide \(_{13}^{30}Al\) is less stable than \(_{20}^{40}Ca\). - To determine the stability of these nuclides, we need to look at their neutron-to-proton (N/P) ratios. - For Aluminum (\(_{13}^{30}Al\)): - Protons (Z) = 13 - Mass number (A) = 30 - Neutrons (N) = A - Z = 30 - 13 = 17 - N/P ratio = N/Z = 17/13 ≈ 1.31 (greater than 1) - For Calcium (\(_{20}^{40}Ca\)): - Protons (Z) = 20 - Mass number (A) = 40 - Neutrons (N) = A - Z = 40 - 20 = 20 - N/P ratio = N/Z = 20/20 = 1 (equal to 1) **Conclusion for Step 1**: The N/P ratio for Aluminum is greater than 1, indicating it is less stable, while Calcium has an N/P ratio of 1, indicating it is stable. Thus, Statement-1 is correct. **Step 2: Analyze Statement-2** - **Statement-2**: Nuclides having odd numbers of protons and neutrons are generally unstable. - Odd numbers of protons and neutrons often lead to instability due to the imbalance in nuclear forces. This is a well-established principle in nuclear chemistry. **Conclusion for Step 2**: Statement-2 is also correct as it explains the instability of nuclides with odd numbers of protons and neutrons. **Final Conclusion**: Both statements are correct, and Statement-2 provides a valid explanation for Statement-1. Therefore, the correct answer is that both statements are true, and Statement-2 is the correct explanation of Statement-1. ### Final Answer: Both Statement-1 and Statement-2 are true, and Statement-2 is the correct explanation of Statement-1. ---
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