A person moves from pole to equator, then his weight will

Options

A. Increase
B. Decrease
C. Remain same
D. First increase and then decrease

Answer

To solve the problem of how a person's weight changes when moving from the pole to the equator, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Weight**: Weight (W) of an object is given by the formula:
\[ W = mg \]
where \(m\) is the mass of the object and \(g\) is the acceleration due to gravity.

2. **Gravity Variation**: The acceleration due to gravity varies with location on the Earth's surface. It is affected by two main factors:
- The distance from the center of the Earth.
- The rotation of the Earth.

3. **Distance from the Center of the Earth**:
- At the equator, the distance from the center of the Earth (r1) is greater than at the poles (r2).
- Therefore, \( r1 > r2 \).

4. **Gravitational Force Relation**: The gravitational force (and thus gravity) is inversely proportional to the square of the distance from the center of the Earth:
\[ g \propto \frac{1}{r^2} \]
This means that as the distance from the center increases, the gravitational force decreases.

5. **Comparing Gravity at the Poles and Equator**:
- Since \( r1 > r2 \), we conclude that:
\[ g_{\text{equator}} < g_{\text{pole}} \]
This indicates that the gravitational acceleration at the equator is less than that at the poles.

6. **Weight Calculation**:
- Weight at the pole:
\[ W_{\text{pole}} = mg_{\text{pole}} \]
- Weight at the equator:
\[ W_{\text{equator}} = mg_{\text{equator}} \]

7. **Conclusion on Weight Change**:
- Since \( g_{\text{equator}} < g_{\text{pole}} \), it follows that:
\[ W_{\text{equator}} < W_{\text{pole}} \]
Therefore, as a person moves from the pole to the equator, their weight decreases.

### Final Answer:
If a person moves from the pole to the equator, their weight will **decrease**.

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