Let the original length L=xm ;New length =( x -3 ) m T1 = 5.77s; T2 = 4.60s,
T2 α L
⇒T2 = kL where K is constant ⇒ K = T12L1=T22L2 ⇒5.772x = 4.602x−3 ⇒ 33.29x = 4.602x−3 ⇒ 33.29(x-3) = 21.16x ⇒ 33.29x - 99.87 =21.16x
⇒12.13x = 99.87 ;x =99.8712.13 = 8.23m The new length of the pendulum =x-3 = 8.23-3 =5.23m