A mass on a string of unknown length oscillates as a pendulum with a period of 4.9 s . Parts A to D are independent questions, each referring to the initial situation. Part B What is the period if the string length is doubled? Part C What is the period if the string length is halved? Part D What is the period if the amplitude is doubled? Solution Time period of a pendulum T = 2*pi*sqrt(L/g) part(B) (T2/T1)^2= L2/L1 if L2 = 2*L1 (T2/T1)^2 = 2 T2 = T1*sqrt2 T2 = 4.9*sqrt2 time period T2 = 6.9 s ====================== part C if L2 = L1/2 (T2/T1)^2 = 1/2 T2 = T1/sqrt2 T2 = 4.9/sqrt2 = 4.9/1.41 T2 = 3.5 s ============================== part D time period is independent of amplitude time period remains same 4.9 s .