Answer
See explanation.
Work Step by Step
Hang the ring on the chain and let it swing back and forth as a simple pendulum.
The period of a simple pendulum is $T=2 \pi\sqrt{\frac{L}{g}}$. Gravity on Mars is about 38 percent of what it is on Earth, so the period of the pendulum would be longer (by a factor of $\sqrt{\frac{1}{0.38}}=1.62$) on Mars than on Earth.
