Question

The length of the two pendulum are 110 cm and 27.5 cm. Calculate the ratio of their time periods.

Answer 1

l₁ = 110 cm; l₂ = 27.5 cm
Let T₁ and T₂ be the time period of two pendulums.

`"T"_1/"T"_2=sqrt("l"_1/"l"_2)`

`"T"_1/"T"_2=sqrt(110/27.5)=sqrt(4/1)`

`"T"_1/"T"_2=2/1`