STATEMENT -1 : Acceleration due to gravity is maximum at poles.
and
STATEMENT -2 : There is no effect of rotational motion of earth on gravity at poles.

Options

A. Statement 1- True, Statement -2 is True, Statement -2 is a correct explanation for Statement -3
B. Statement -1 is True, Statement -2 is True, Statement -2 is NOT a correct explanation for Statement -3
C. Statement -1 is True, Statement -2 is False
D. Statement -1 is False, Statement -2 is True

Answer

To analyze the statements regarding the acceleration due to gravity at the poles and the effect of Earth's rotational motion, we can break down the solution into clear steps.

### Step 1: Understanding Acceleration Due to Gravity
The acceleration due to gravity (g) at any point on the Earth's surface can be influenced by two factors: the mass of the Earth and the distance from the center of the Earth. The formula for gravitational acceleration is given by:
\[ g = \frac{GM}{R^2} \]
where G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.

### Step 2: Effect of Earth's Rotation
The Earth rotates about its axis, which affects the apparent weight of objects on its surface. This effect is described by the centrifugal force, which acts outward and reduces the effective gravitational force experienced by objects at the equator. The formula for the effective gravitational acceleration (g') considering the rotational motion is:
\[ g' = g - R \omega^2 \cos^2(\theta) \]
where:
- \( R \) is the radius of the Earth,
- \( \omega \) is the angular velocity of the Earth's rotation,
- \( \theta \) is the latitude.

### Step 3: Analyzing the Statements
- **Statement 1:** "Acceleration due to gravity is maximum at poles."
- At the poles, \( \theta = 90^\circ \), thus \( \cos^2(90^\circ) = 0 \).
- Therefore, the effective gravitational acceleration at the poles becomes:
\[ g' = g - R \omega^2 \cdot 0 = g \]
- This indicates that the acceleration due to gravity is indeed maximum at the poles. Hence, Statement 1 is **True**.

- **Statement 2:** "There is no effect of rotational motion of Earth on gravity at poles."
- Since at the poles, the centrifugal force due to Earth's rotation does not affect the gravitational acceleration (as shown above), we conclude that the rotational motion does not have an effect on gravity at the poles. Hence, Statement 2 is also **True**.

### Conclusion
Both statements are true, and Statement 2 correctly explains Statement 1. Therefore, the correct option is that both statements are true.