Time Period of the pendulum

The time period of a pendulum, defined as the time taken for one complete oscillation, depends on its length, which is option B. This relationship is described by the formula for the period of a simple pendulum: T=2π√(L/g )where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity. The period of a pendulum is independent of its mass, as demonstrated by Galileo’s experiments. It is also unaffected by temperature variations in the absence of significant changes to the pendulum’s length or environmental conditions. However, changes in length, such as altering the position of the pendulum’s pivot or adding additional mass, can impact its period. Therefore, option [B] accurately identifies the primary factor determining the time period of a pendulum, highlighting the fundamental relationship between length and oscillation period in pendulum motion.