The weight of a body at the centre of the earth is

Options

A. Zero
B. Infinite
C. Same as on the surface of earth
D. None of the above

Explanation

To determine the weight of a body at the center of the Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Weight**:
Weight is defined as the force exerted on a body due to gravity. It can be mathematically expressed as:
\[ W = m \cdot g \]
where \( W \) is the weight, \( m \) is the mass of the body, and \( g \) is the acceleration due to gravity at that location.

2. **Acceleration Due to Gravity at the Center of the Earth**:
At the center of the Earth, the gravitational force exerted by the Earth on a body is zero. This is because the mass of the Earth is distributed symmetrically around the center, and the gravitational forces from all parts of the Earth cancel each other out.

3. **Calculate Weight at the Center**:
Since the acceleration due to gravity (\( g \)) at the center of the Earth is zero, we can substitute this into the weight formula:
\[ W = m \cdot g = m \cdot 0 = 0 \]
Therefore, the weight of the body at the center of the Earth is zero.

4. **Conclusion**:
The weight of a body at the center of the Earth is zero. Thus, the correct answer is **zero**.

### Final Answer:
The weight of a body at the center of the Earth is **zero**.

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