(A) : No force is required by the body to remain in a state of uniform motion.
(r) : In uniform linear motion, acceleration has a finite value.

Options

A. Both (A) and (R) are true and (R) is the correct explanation of (A)
B. Both (A) and (R) are true and (R) is not the correct explanation of A
C. (A) is true but ( R) is false
D. Both (A) and (R ) are false

Answer

To solve the question, we need to analyze the two statements given:

**Assertion (A)**: No force is required by the body to remain in a state of uniform motion.
**Reason (R)**: In uniform linear motion, acceleration has a finite value.

### Step-by-Step Solution:

1. **Understanding Assertion (A)**:
- According to Newton's First Law of Motion (the law of inertia), a body will remain in its state of rest or uniform motion unless acted upon by an external unbalanced force. This means that if a body is already in uniform motion, it does not require any force to maintain that motion.
- Therefore, the assertion "No force is required by the body to remain in a state of uniform motion" is **True**.

2. **Understanding Reason (R)**:
- In uniform linear motion, the velocity of the body remains constant. This means that there is no change in speed or direction.
- Acceleration is defined as the rate of change of velocity. Since the velocity is constant in uniform motion, the change in velocity is zero, which means that the acceleration is also zero.
- Therefore, the statement "In uniform linear motion, acceleration has a finite value" is **False** because the acceleration is actually zero.

3. **Conclusion**:
- We have established that Assertion (A) is true and Reason (R) is false.
- The correct answer to the question is: **A is true but R is false**.

### Final Answer:
**Option 3**: A is true but R is false.