Two simple pendulums have the same period of oscillation. The necessary condition is:
A
Their lengths are equal and the suspended particles have the same mass.
B
Their lengths are equal but the suspended particles need not have the same mass.
C
Their lengths are different but the suspended particles have the same mass.
D
The masses of the suspended particles must be in the inverse ratio of the lengths of the pendulums.
Correct Option:
B
Explanation
For an ideal simple pendulum, T = 2π√(L/g). Notice what is missing: mass. Therefore equal periods require equal lengths under the same gravity, while the bobs need not have equal masses.
