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STATEMENT - 1 : When a rod lying freely ...

STATEMENT - 1 : When a rod lying freely is heated, no thermal stress is developed in it.
and
STATEMENT - 2 : On heating, the length of the rod increase.

A

Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1

B

Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

AI Generated Solution

The correct Answer is:
To analyze the statements given in the question, we can break down the reasoning step-by-step. ### Step 1: Understand Statement 1 **Statement 1:** When a rod lying freely is heated, no thermal stress is developed in it. - **Explanation:** A rod that is lying freely means it is not constrained at its ends. When it is heated, it can expand without any restrictions. Since there are no external forces acting on it to prevent this expansion, there is no thermal stress generated. ### Step 2: Understand Statement 2 **Statement 2:** On heating, the length of the rod increases. - **Explanation:** When a rod is heated, the kinetic energy of its atoms increases, causing them to vibrate more vigorously and move apart. This results in an increase in the rod's length, which is a general property of materials when subjected to heat. ### Step 3: Evaluate the Truth of the Statements - Both statements are true: - Statement 1 is true because the rod can expand freely without any constraints. - Statement 2 is true because heating a rod does indeed cause it to lengthen. ### Step 4: Determine the Relationship Between the Statements - The question asks if Statement 2 provides a correct explanation for Statement 1. - While both statements are true, Statement 2 does not explain why there is no thermal stress in Statement 1. The lack of thermal stress is due to the rod being free to expand, not merely because it expands when heated. ### Conclusion - Both statements are true, but Statement 2 does not correctly explain Statement 1. Therefore, the correct conclusion is that both statements are true, but Statement 2 is not a correct explanation for Statement 1. ### Final Answer Both Statement 1 and Statement 2 are true, but Statement 2 is not a correct explanation for Statement 1. ---
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