Question

find the ratio of the time periods of two pendula whose lengths are in the ratio 1:4

Answer 1

The time period of two Pendulums is compared by the formula $\sqrt{l_{1}/l_{2}}$ so,

the Equation we have is $\sqrt{1/4}$

so the answer will be $\frac{1}{2}$ or 1:2

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Answer 2

T=2π√L/g
T1/T2=√L1/L2
T1/T2=√1/4
T1/T2=1/2