Height does not affect the period of a pendulum.
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no ,because they are not the same
Yes. Given a constant for gravity, the period of the pendulum is a function of it's length to the center of mass. In a higher gravity, the period would be shorter for the same length of pendulum.
Technically and mathematically, the length is the onlything that affects its period.
no. it affects the period of the cycles.
The period of a pendulum is give approximately by the formula t = 2*pi*sqrt(l/g) where l is the length of the pendulum and g is the acceleration (not accerlation) due to gravity. Thus g is part of the formula for the period.