Answer:
0.331 m
Explanation:
We are given that
Acceleration on the moon=[tex]1.62 m/s^2[/tex]
Acceleration due to gravity on earth=[tex]9.8 m/s^2[/tex]
Length of pendulum on the earth=2 m
We know that time period
T=[tex]2\pi\sqrt{\frac{l}{g}}[/tex]
Substitute the values then we get
T=[tex]2\pi\sqrt{\frac{2}{9.8}}[/tex]
Time period on moon=[tex]2\pi\sqrt{\frac{l}{1.62}}[/tex]
Time period on the moon=Time period on the earth
[tex]2\pi\sqrt{\frac{2}{9.8}}=2\pi\sqrt{\frac{l}{1.62}}[/tex]
[tex]\frac{1}{4.9}=\frac{l}{1.62}[/tex]
[tex]l=\frac{1.62}{4.9}[/tex]
l=0.331 m
Hence, the length of pendulum on moon=0.331 m
