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Assertion: In a small segment of string ...

Assertion: In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason: Every small part moves in SHM and total energy of SHM is conserved.

A

Statement I is true, statement II is true and statement II is the correct explaination for statement I.

B

Statement I is true, statement II is true and statement II is NOT the correct explaination for statement I.

C

Statement I is true, statement II is false.

D

Statement I is false, statement II is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, let's analyze the assertion and reasoning step by step. ### Step 1: Analyze the Assertion The assertion states: "In a small segment of string carrying sinusoidal wave, total energy is conserved." - In a sinusoidal wave, energy is not conserved in a small segment of the string because energy is continuously being transferred along the string. While the total energy of the entire wave may remain constant, the energy in a small segment fluctuates as the wave propagates. **Conclusion**: The assertion is **false**. ### Step 2: Analyze the Reasoning The reasoning states: "Every small part moves in SHM and total energy of SHM is conserved." - Each small segment of the string indeed behaves like a simple harmonic oscillator (SHM) as it oscillates up and down. However, the total energy of the entire system (the string as a whole) is conserved, not the energy of each small segment. The energy in each segment varies as the wave passes through. **Conclusion**: The reasoning is **true**. ### Step 3: Determine the Relationship Now, we need to determine if the reasoning correctly explains the assertion. - Since the assertion is false and the reasoning is true, the reasoning does not provide a correct explanation for the assertion. ### Final Conclusion Based on the analysis: - The assertion is **false**. - The reasoning is **true**. - Therefore, the correct option is: **Option 4: Statement 1 is false and statement 2 is true.** ---
To solve the question, let's analyze the assertion and reasoning step by step. ### Step 1: Analyze the Assertion The assertion states: "In a small segment of string carrying sinusoidal wave, total energy is conserved." - In a sinusoidal wave, energy is not conserved in a small segment of the string because energy is continuously being transferred along the string. While the total energy of the entire wave may remain constant, the energy in a small segment fluctuates as the wave propagates. **Conclusion**: The assertion is **false**. ...
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