A person can see the objects lying between `25 cm and 10 m` from his eye. His vision can be corrected by using lens of power `- 0.1 D`, Is the statement true or false ?

Explanation

To determine whether the statement is true or false, we need to analyze the given information about the person's vision and the lens required to correct it.

### Step-by-Step Solution:

1. **Understanding the Vision Range**:
The person can see objects between 25 cm (0.25 m) and 10 m. This means:
- The near point (minimum distance) is 25 cm.
- The far point (maximum distance) is 10 m.

2. **Normal Vision Range**:
A person with normal vision can see objects clearly from a distance of 25 cm (near point) to infinity (far point). In this case, the person cannot see objects beyond 10 m clearly.

3. **Determining the Correction Needed**:
To correct the vision for distant objects, we need to bring the image of distant objects (at infinity) to the person's far point, which is 10 m.

4. **Using the Lens Formula**:
The lens formula is given by:
\[ \frac{1}{f} = \frac{1}{v} - \frac{1}{u} \]
Here,
- \( v \) is the image distance (10 m, since we want to form the image at the far point).
- \( u \) is the object distance (for distant objects, we can take \( u \) as infinity).

Substituting these values into the lens formula:
\[ \frac{1}{f} = \frac{1}{10} - \frac{1}{\infty} \]
Since \( \frac{1}{\infty} = 0 \), we have:
\[ \frac{1}{f} = \frac{1}{10} \]
Therefore, the focal length \( f \) is:
\[ f = 10 \text{ m} \]

5. **Calculating the Power of the Lens**:
The power \( P \) of a lens is given by:
\[ P = \frac{1}{f} \text{ (in meters)} \]
Since \( f = 10 \text{ m} \), we convert it to diopters:
\[ P = \frac{1}{10} = 0.1 \text{ D} \]
However, since the lens is required to correct for myopia (nearsightedness), the power will be negative:
\[ P = -0.1 \text{ D} \]

6. **Conclusion**:
The statement in the question claims that the vision can be corrected by using a lens of power -0.1 D. Since our calculations confirm that the required power of the lens is indeed -0.1 D, the statement is **true**.

### Final Answer:
**True**