Consider the problem,
In the case of mineral, coverage area (r) increases
Therefore, Inertia \(I = Mr ^2\)
If \(r\) increases, then \(I\) increases
and, also \(L = I \omega\)
\(L\) is conserved, then if \(I\) increases, \(\omega\) decreases.
And also, \(\omega=\frac{2 \pi}{T}\)
If \(\omega\) decreases, then Time period ( \(T\) ) increases.
Therefore, length of the day increases.