Answer this gravity on the moon question

Question

The acceleration due to gravity on the moon is 1.62 m/s^2. What is the length of a pendulum whose period on the moon matches the period of a 1.90-m-long pendulum on the earth? Length in meters

Answer 1

If L is the required length:

2pi sqrt(L / 1.62) = 2pi sqrt(1.90 / 9.81)

L / 1.62 = 1.90 / 9.81

L = 1.62 * 1.90 / 9.81

= 0.314 m.