Halving the length of a simple pendulum results in a change in its time period, which can be calculated using the formula T = 2π√(L/g). When the length is halved (L2 = L1/2), the relationship between the periods T1 and T2 can be expressed as T1/T2 = √(L1/L2). Substituting L2 into the equation gives T1/T2 = √(2), indicating that the time period is reduced. Thus, the time period of the pendulum decreases when its length is halved. Understanding this relationship is essential for solving pendulum problems effectively.