Question

the time period of two simple pendulum are in the ratio 2:3 find the datio of the effective length

Answer 1

time period T is proportional to $\sqrt{L}$
T1/ T2  = $\sqrt{L1} / \sqrt{L2}$
2/3 = [tex] \sqrt{ \frac{L1}{L2} } [/tex]

4/9 = $\frac{L1}{L2}$

therefore , ratio of effective length is 4:9