A Puck Moves on a Horizontal Air Table $\sqrt { 2 }$

Multiple Choice

A puck moves on a horizontal air table. It is attached to a string that passes through a hole in the center of the table. As the puck rotates about the hole, the string is pulled downward very slowly
And shortens the radius of rotation, so the puck gradually spirals in towards the center. By what
Factor will the puck's angular speed have changed when the string's length has decreased to
One-half of its original length?

A) 1
B) 4
C) $\sqrt { 2 }$
D) 1/2
E) 2