Assertion: An ideal fluid is flowing through a pipe. Speed of fluid particles is more at places where pressure is low.
Reason: Bernoulli's theoren can be derived from work-energy theorem.

(A)Both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
(B)Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
(C)Assertion is true, but the Reason is false.
(D)Assertion is false but the Reason is true.

Options

A. If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true, but the Reason is false.
D. If Assertion is false but the Reason is true.

Explanation

To solve the assertion and reason question, we need to analyze both the assertion and the reason separately.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "an ideal fluid is flowing through a pipe. Speed of fluid particles is more at places where pressure is low."
- According to Bernoulli's theorem, for an ideal fluid, the sum of pressure energy, kinetic energy per unit volume, and potential energy per unit volume remains constant along a streamline. The equation can be expressed as:
\[ P + \frac{1}{2} \rho v^2 + \rho gh = \text{constant} \]
- From this equation, if the pressure \(P\) decreases, the kinetic energy term \(\frac{1}{2} \rho v^2\) must increase, which implies that the speed \(v\) of the fluid particles increases. Therefore, the assertion is true.

2. **Understanding the Reason**:
- The reason states that "Bernoulli's theorem can be derived from the work-energy theorem."
- This statement is indeed true. Bernoulli's theorem can be derived from the principles of conservation of energy, which is essentially what the work-energy theorem states. Thus, the reason is true.

3. **Evaluating the Relationship**:
- The assertion is true, as explained above, because it aligns with Bernoulli's principle.
- The reason is also true; however, it does not provide a direct explanation for the assertion. The assertion stands on its own based on the principles of fluid dynamics.

4. **Conclusion**:
- Since both the assertion and reason are true, but the reason does not explain the assertion, the correct answer is:
**(B) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.**

### Final Answer:
(B) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

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