Time period of a simple pendulum is 2sec if length is increased four times then its period becomes?

1 Answer
Apr 5, 2018

The new period will be double. See below

Explanation:

We know that for a simple pendulum

#T=2pisqrt(l/g)# where #T# is the period, #g# is gravity acceleration and #l# the pendulum lenght

In these conditions, if the new lenght is #L=4l#, the new period #T`#

#T'=2pisqrt(L/g)=2pisqrt(4l/g)=2pisqrt4sqrt(l/g)=2·2pisqrt(l/g)=2T#