Two spheres of same size, one of mass `2 kg` and another of mass `4 kg`, are dropped simultaneously from the top of Quata Minar `(height = 72 m)`. When they are `1 m` above the ground, the two spheres have the same.

Options

A. momentum
B. kinetic energy
C. potential energy
D. acceleratino

Answer

To solve the problem, we need to analyze the motion of the two spheres dropped from the height of 72 meters.

### Step-by-Step Solution:

1. **Understanding the Problem**:
We have two spheres, one with a mass of 2 kg and the other with a mass of 4 kg, dropped from a height of 72 m. We need to determine what is the same for both spheres when they are 1 m above the ground.

2. **Identify the Relevant Concepts**:
- The two spheres are in free fall, meaning they are only influenced by gravity.
- The acceleration due to gravity (g) is approximately \(9.81 \, \text{m/s}^2\) and acts on both spheres equally, regardless of their mass.

3. **Calculate the Height at Which They Are Analyzed**:
- The height from which they are dropped is 72 m. When they are 1 m above the ground, they are at a height of \(72 - 1 = 71 \, \text{m}\).

4. **Determine the Motion Characteristics**:
- Both spheres will have the same acceleration due to gravity, which is \(g\). This is true for all objects in free fall, regardless of their mass.

5. **Evaluate Other Quantities**:
- **Momentum**: \(p = mv\) (depends on mass and velocity, different for both).
- **Kinetic Energy**: \(KE = \frac{1}{2}mv^2\) (depends on mass, different for both).
- **Potential Energy**: \(PE = mgh\) (depends on mass, different for both).

6. **Conclusion**:
The only quantity that remains the same for both spheres when they are 1 m above the ground is their acceleration. Therefore, the correct answer is that both spheres have the same **acceleration**.

### Final Answer:
The two spheres have the same **acceleration** when they are 1 m above the ground.

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