If the earth, were suddenly contracted to (l/n)th of its present radius without change in its mass, then what will be the effect on the duration of the day.

Explanation

To solve the problem of how the duration of the day changes if the Earth contracts to \( \frac{1}{n} \)th of its present radius without a change in mass, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the relationship between time period and radius**:
The time period \( T \) of the Earth's rotation is related to its radius \( R \). The formula for the time period of rotation is given by the relationship:
\[
T \propto R^2
...