If the end correction of an open pipe is 0.8 cm, then the inner radius of that pipe will be

Options

A. `1/3` cm
B. `2/3` cm
C. `3/2` cm
D. 0.2 cm

Answer

To solve the problem of finding the inner radius of an open pipe given the end correction, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Information**:
- The end correction (ΔL) is given as 0.8 cm.

2. **Understand the Relationship**:
- For an open pipe, the relationship between the end correction (ΔL) and the inner radius (r) is given by the formula:
\[ \Delta L = 1.2 \times r \]

3. **Substitute the Given Value**:
- Substitute the value of ΔL into the equation:
\[ 0.8 = 1.2 \times r \]

4. **Solve for Inner Radius (r)**:
- Rearranging the equation to solve for r gives:
\[ r = \frac{0.8}{1.2} \]

5. **Simplify the Fraction**:
- To simplify \(\frac{0.8}{1.2}\), we can multiply the numerator and the denominator by 10 to eliminate the decimal:
\[ r = \frac{8}{12} \]

6. **Reduce the Fraction**:
- Simplifying \(\frac{8}{12}\) gives:
\[ r = \frac{2}{3} \text{ cm} \]

7. **Conclusion**:
- The inner radius of the pipe is \(\frac{2}{3}\) cm.

### Final Answer:
The inner radius of the pipe is \(\frac{2}{3}\) cm.

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