A frictionless pendulum clock on the surface of the earth has a period of 1.00 s

Question

A frictionless pendulum clock on the surface of the earth has a period of 1.00 s. On a distant planet, the length of the pendulum must be shortened slightly to have a period of 1.00 s. What is true about the acceleration due to gravity on the distant planet?
Answer
We cannot tell because we do not know the mass of the pendulum.
The gravitational acceleration on the planet is slightly less than g.
The gravitational acceleration on the planet is slightly greater than g.
The gravitational acceleration on the planet is equal to g.

Explanation / Answer

The gravitational acceleration on the planet is slightly less than g.

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