A simple pendulum has a period T on Earth.If it were used on Planet X,where the free fall acceleration is 3 times what it is on Earth,what would its period be?

Question

Quizplus · Accepted Answer

The period T of a simple pendulum on Earth is given by T=2π√(l/g), where l is the length of the pendulum and g is the acceleration due to gravity on Earth. On Planet X, where g is 3 times what it is on Earth, the period of the pendulum would be T'=2π√(l/g'). Substituting g'=3g, we get T'=2π√(l/3g)= (2π/√3)√(l/g)= T/√3. Hence the correct answer is D.

A Simple Pendulum Has a Period T on Earth 3\sqrt { 3 }3​

A Simple Pendulum Has a Period T on Earth $\sqrt { 3 }$