Two pendulums of lengths 100cm and 110.25cm start oscillating in phase. after how many oscillations will they again be in same phase?

Angular frequency of pendulum is given by

for both pendulum we have

For other pendulum

now we have relate angular frequency given as

[tex\omega_1 - \omega_2 = 3.13 - 2.98 = 0.15 rad/s[/tex]

now time taken to become in phase again is given as

now number of oscillations complete in above time

the answer is to check all of them! they all apply well at least i think so!

3.2x10^7