A company builds a wall-mounted clock that is a 1 : 9 scale replica of an old grandfather clock. All linear dimensions of the pendulum are reduced to one-ninth of the original. Neglecting air resistance, how does the period of the pendulum in the small clock compare with that of the full-size pendulum?
a) one-ninth as large
b) the same as the original
c) one-third as large
d) three times as large