If the earth stops rotating sudenly, the value of g at a place other than poles would :-

Options

A. Decrease
B. Remain constant
C. Increase
D. Increase or decrease depending on the position of earth in the orbit round the sun

Answer

To solve the problem of how the value of gravitational acceleration (g) would change if the Earth suddenly stopped rotating, we can follow these steps:

### Step 1: Understand the current value of g
The value of gravitational acceleration (g) at the surface of the Earth is approximately 9.81 m/s². However, this value is affected by the Earth's rotation, especially at the equator, where the centrifugal force due to rotation reduces the effective value of g.

### Step 2: Analyze the effect of Earth's rotation
The effective acceleration due to gravity (g') at a point on the Earth's surface can be expressed as:
\[ g' = g - r \omega^2 \cos^2(\theta) \]
where:
- \( g \) is the true acceleration due to gravity,
- \( r \) is the radius of the Earth,
- \( \omega \) is the angular velocity of the Earth's rotation,
- \( \theta \) is the latitude.

At the equator (\( \theta = 0 \)), the centrifugal force is maximum, and g' is less than g. At the poles (\( \theta = 90^\circ \)), the centrifugal force is zero, so g' equals g.

### Step 3: Consider what happens if the Earth stops rotating
If the Earth stops rotating suddenly:
- The centrifugal force would no longer act on objects at the surface.
- The effective value of g would increase to its true value at all locations other than the poles.

### Step 4: Conclusion about the value of g at places other than the poles
Since the centrifugal force is eliminated, the value of g at the equator would increase to the true gravitational acceleration (9.81 m/s²) instead of being reduced by the centrifugal effect. Therefore, at all places other than the poles, g would increase.

### Final Answer
The value of g at a place other than the poles would **increase**.

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