Keeping the mass of earth constant, if its radius is halved then what will be the duration of the day and night?

If the mass of the earth is kept constant and its radius is made half, then the duration of the day will be where T is the present duration of the day.

Keeping the mass constant , if the radius of the earth is halved, then the span of a day

If earth shrinks then the duration of day

Keeping the mass of the earth constant, if the radius of the earth is made 80% of its present value , the acceleration due to gravity on the earth's surface would

Is there any change in duration of day and duration of night?

If earth suddenly shrinks to (1//27)^(th) of its original volume, mass remaining unchanged then what will be the duration of the day.