The value of intensity of gravitational field at infinite distance from the body is

Options

A. zero
B. infinite
C. less than unity
D. unity

Answer

To find the value of the intensity of the gravitational field at an infinite distance from a body, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Gravitational Field Intensity**:
The intensity of the gravitational field (denoted as \( g \)) at a distance \( r \) from a mass \( M \) is given by the formula:
\[ g = \frac{G \cdot M}{r^2} \]
where \( G \) is the gravitational constant.

2. **Set the Distance to Infinity**:
We want to find the gravitational field intensity at an infinite distance from the body. Therefore, we will substitute \( r \) with \( \infty \):
\[ g = \frac{G \cdot M}{\infty^2} \]

3. **Evaluate the Expression**:
Since \( \infty^2 \) is still \( \infty \), we can simplify the expression:
\[ g = \frac{G \cdot M}{\infty} = 0 \]

4. **Conclusion**:
Therefore, the intensity of the gravitational field at an infinite distance from the body is:
\[ g = 0 \]

### Final Answer:
The value of the intensity of the gravitational field at infinite distance from the body is **0**.

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