An iron ball and a cork ball of the same radius are released from the same height in vacuum. Both of them reach the ground simultaneously. Which of the following statement is the correct explanation for this?

Options

A. Acceleration due to gravity is independent of the mass of the falling bodies.
B. Acceleration due to gravity in vacuum is independent of the size of the bodies.
C. In vacuum, the acceleration due to gravity is zero.
D. In vacuum, there is resistance to the motion of the bodies.

Explanation

**Step-by-Step Solution:**

1. **Understanding the Scenario**: We have two balls, an iron ball and a cork ball, both with the same radius, released from the same height in a vacuum.

2. **Identifying the Key Concept**: The key concept to understand here is that in a vacuum, there is no air resistance. This means that both balls are only affected by gravity.

3. **Mass and Acceleration Due to Gravity**: Although the iron ball and cork ball have different masses due to their different densities, the acceleration due to gravity (denoted as 'g') is the same for both objects. This value is approximately 9.8 m/s² on Earth.

4. **Effect of Gravity**: Since both balls are in a vacuum, they experience the same gravitational pull regardless of their mass. Therefore, they will accelerate towards the ground at the same rate.

5. **Conclusion**: Because both balls are subjected to the same acceleration due to gravity and there is no air resistance to affect their motion, they will reach the ground simultaneously.

**Final Statement**: The correct explanation for why the iron ball and cork ball reach the ground at the same time is that the acceleration due to gravity is independent of the mass of the objects, and in a vacuum, there is no air resistance to alter their fall.

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