Statement 1 : The velocity increases, when water flowing in broader pipe enter a narrow pipe.
Statement 2 : According to equation of continuity, product of area and velocity is constant.

Options

A. A.Statement I is true, statement II is true and Statement II is a correct explanation for Statement I.
B. B.Statement I is true, Statement II is true and Statement II is NOT the correct explanation for Statement I.
C. C.Statement I is true, Statement II is false.
D. D.Statement I is false, Statement II is true.

Explanation

To solve the problem, we need to analyze both statements provided in the question and understand their relationship through the principle of continuity in fluid mechanics.

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- The first statement claims that "the velocity increases when water flowing in a broader pipe enters a narrow pipe."
- This implies that as the cross-sectional area of the pipe decreases, the velocity of the water must increase.

2. **Understanding Statement 2**:
- The second statement refers to the "equation of continuity," which states that the product of the cross-sectional area (A) and the velocity (V) of a fluid is constant along a streamline.
- Mathematically, this can be expressed as:
\[ A_1 \cdot V_1 = A_2 \cdot V_2 \]
- Here, \( A_1 \) and \( V_1 \) are the area and velocity in the broader section of the pipe, and \( A_2 \) and \( V_2 \) are the area and velocity in the narrower section.

3. **Applying the Equation of Continuity**:
- If the area decreases (as the pipe narrows), then according to the equation of continuity, the velocity must increase to keep the product \( A \cdot V \) constant.
- This can be rearranged to show that:
\[ V_2 = \frac{A_1 \cdot V_1}{A_2} \]
- Since \( A_2 < A_1 \), it follows that \( V_2 > V_1 \). This confirms that the velocity increases when entering the narrower section.

4. **Conclusion**:
- Both statements are true. Statement 2 correctly explains why statement 1 is true. Therefore, we conclude that:
- Statement 1 is true.
- Statement 2 is true.
- Statement 2 is the correct explanation of statement 1.

### Final Answer:
Both statements are true, and statement 2 is the correct explanation of statement 1.