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Assertion : 1 amu is equal to 931.48 MeV...

Assertion : 1 amu is equal to 931.48 MeV.
Reason: 1 amu is equal to 1/12th the mass of `C^12` atom.

A

(a) If both Assertion and Reason are true and Reason is correct explanation of the Assertion.

B

(b) If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

C

(c) If Assertion is true, but the Reason is false.

D

(d) If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "1 amu is equal to 931.48 MeV." We need to determine if this statement is true or false. - **Fact**: 1 atomic mass unit (amu) is indeed defined in terms of energy, specifically that 1 amu is approximately equal to 931.48 MeV. This conversion comes from Einstein's mass-energy equivalence principle \( E = mc^2 \). ### Step 2: Understand the Reason The reason states that "1 amu is equal to 1/12th the mass of the C-12 atom." We need to evaluate the validity of this claim. - **Fact**: By definition, 1 amu is defined as 1/12th of the mass of a carbon-12 (C-12) atom. This statement is true. ### Step 3: Analyze the Relationship Between Assertion and Reason Now we need to determine if the assertion and reason are related or if one supports the other. - The assertion is true (1 amu = 931.48 MeV). - The reason is also true (1 amu = 1/12th the mass of C-12). - However, the assertion does not logically follow from the reason. The assertion is a statement about energy equivalence, while the reason is a definition of amu. ### Conclusion - Assertion: True - Reason: True - Since the assertion does not logically follow from the reason, we conclude that the assertion is true, but the reason does not support it. ### Final Answer The assertion is true, and the reason is true, but the reason does not support the assertion. ---

To solve the question, we need to analyze both the assertion and the reason provided. ### Step 1: Understand the Assertion The assertion states that "1 amu is equal to 931.48 MeV." We need to determine if this statement is true or false. - **Fact**: 1 atomic mass unit (amu) is indeed defined in terms of energy, specifically that 1 amu is approximately equal to 931.48 MeV. This conversion comes from Einstein's mass-energy equivalence principle \( E = mc^2 \). ### Step 2: Understand the Reason ...
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