Spot the wrong statement : The acceleration due to gravity ‘ g ’ decreases if

Options

A. We go down from the surface of the earth towards its centre
B. We go up from the surface of the earth
C. We go from the equator towards the poles on the surface of the earth
D. The rotational velocity of the earth is increased

Answer

To solve the question of identifying the wrong statement regarding the acceleration due to gravity 'g', we need to analyze the behavior of 'g' in relation to distance from the Earth's surface.

### Step-by-Step Solution:

1. **Understanding Gravity at the Surface**:
- At the surface of the Earth, the acceleration due to gravity is maximum, denoted as 'g'.

2. **Behavior of 'g' Inside the Earth**:
- As we move towards the center of the Earth, the value of 'g' actually decreases. This is because the effective mass that is contributing to the gravitational force decreases as we go deeper into the Earth. The gravitational force inside a uniform sphere is given by \( g' = g \left( \frac{r}{R} \right) \), where \( r \) is the distance from the center and \( R \) is the radius of the Earth.

3. **Behavior of 'g' Above the Surface**:
- When we move away from the surface of the Earth (i.e., going up), the acceleration due to gravity also decreases. This is described by the formula \( g' = \frac{G M}{r^2} \), where \( r \) is the distance from the center of the Earth. As 'r' increases, 'g' decreases.

4. **Identifying the Wrong Statement**:
- The question presents multiple statements about how 'g' changes with respect to moving towards or away from the Earth's surface.
- The wrong statement would be any assertion that claims 'g' increases when moving either towards the center of the Earth or away from the surface.

5. **Conclusion**:
- After analyzing the statements, the one that states that "when we go up from the surface of the earth, acceleration due to gravity increases" is incorrect.

### Final Answer:
The wrong statement is: "When we go up from the surface of the earth, acceleration due to gravity increases."