Since T=2pi*sqrt(l/g) and l is the only variable that effects T that is the period it is the length.
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Height does not affect the period of a pendulum.
The period of the pendulum can be influenced by the local magnitude of gravity, by the length of the string, and by the density of the material in the swinging rod (which influences the effective length).It's not affected by the weight of the bob, or by how far you pull it to the side before you let it go.
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.