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. If both Assertion and Reason are false statement , then mark (4)

Answer

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

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that the gravitational field created by a point mass in its surroundings is a non-uniform gravitational field.
- A gravitational field is considered non-uniform if its strength varies with position.

2. **Understanding the Reason (R)**:
- The reason states that the gravitational field intensity (E) is given by the formula \( E = \frac{GM}{r^2} \), where:
- \( G \) is the universal gravitational constant,
- \( M \) is the mass of the point object,
- \( r \) is the distance from the mass to the point where the field is being measured.
- Since this formula depends on \( r \), it implies that as \( r \) changes, the value of \( E \) changes, leading to a non-uniform field.

3. **Analysis of the Gravitational Field**:
- As you move away from the point mass, the distance \( r \) increases.
- According to the formula \( E = \frac{GM}{r^2} \), as \( r \) increases, the gravitational field intensity \( E \) decreases.
- This indicates that the gravitational field is stronger closer to the mass and weaker further away, confirming that the field is indeed non-uniform.

4. **Conclusion**:
- Both the assertion (A) and the reason (R) are true.
- The reason correctly explains why the gravitational field created by a point mass is non-uniform.

### Final Answer:
Both assertion and reason are true, and the reason is the correct explanation of the assertion.

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