Answer the following questions:

A man with a wristwatch on his hand falls from the top of a tower. Does the watch give correct time during the free fall?

Yes, the watch gives correct time as wrist watch works on spring oscillation whose Time period is given as

Where K is spring constant and m is mass

Clearly time period is independent of gravity in free fall effective gravity changes but here it will have no effect because time period of watch does not depend on gravity so it will keep on showing correct time