A : Field created by the point mass in its surroundings is a non - uniform gravitational field .
R : Since the field is `E = (GM)/(r^(2))` and it is dependent on r , hence Non - uniform .

Options

A. If both Assertion & Reason are true . And the reason is the correct explanation of the assertion , then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion , then mark (2)
C. If Assertion is true statement but Reason is false , then mark (3)
D. It will move the same speed , tangentially to the spacecraft

Answer

To solve the question, we need to analyze the assertion (A) and the reason (R) provided:

**Assertion (A):** The field created by the point mass in its surroundings is a non-uniform gravitational field.
**Reason (R):** Since the field is \( E = \frac{GM}{r^2} \) and it is dependent on \( r \), hence it is non-uniform.

### Step-by-Step Solution:

1. **Understanding Gravitational Field:**
- The gravitational field \( g \) at a distance \( r \) from a point mass \( M \) is given by the formula:
\[ g = \frac{GM}{r^2} \]
- Here, \( G \) is the universal gravitational constant, and \( M \) is the mass creating the gravitational field.

2. **Analyzing the Dependence on Distance:**
- The formula \( g = \frac{GM}{r^2} \) shows that the gravitational field strength \( g \) varies with the distance \( r \) from the mass \( M \).
- As \( r \) changes, the value of \( g \) changes. This indicates that the gravitational field is not constant at different points in space.

3. **Definition of Uniform and Non-Uniform Fields:**
- A **uniform gravitational field** is one where the gravitational field strength is the same at all points in the field.
- A **non-uniform gravitational field** is one where the gravitational field strength varies from point to point.

4. **Conclusion about the Assertion:**
- Since the gravitational field strength \( g \) changes with distance \( r \), it is indeed a non-uniform gravitational field.
- Therefore, the assertion (A) is true.

5. **Conclusion about the Reason:**
- The reason (R) states that the field is non-uniform because it depends on \( r \). This is a correct explanation because the variation of \( g \) with \( r \) directly leads to the conclusion that the field is non-uniform.
- Therefore, the reason (R) is also true and correctly explains the assertion (A).

6. **Final Answer:**
- Both the assertion (A) and the reason (R) are true, and the reason is a correct explanation of the assertion.