A uniform rod of length l is suspended by an end and is made to undergo small oscillations. Find the length of the simple pendulum having the time period equal to that of the rod.

2l/3


we know time period of physical pendulum



Let r be the distance between center of mass and point of suspension


Here




-----(1)


Now, we know time period of simple pendulum



-----(2)


L is length of simple pendulum


From (1) &(2)



1