Yes
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Height does not affect the period of a pendulum.
Technically and mathematically, the length is the onlything that affects its period.
no ,because they are not the same
no. it affects the period of the cycles.
The period of a pendulum is (sort of) independent of the amplitude. This is technically true for very small, "infinitesimal" swings. In this range, amplitude does not affect period. For larger swings, however, a circular error is introduced, but it is possible to compensate with various designs. See the Related Link below for further information.