9-The acceleration due to gravity on the moon is 1.6 meters per Second Square. On the moon, the time period of a pendulum whose length is 6.4 meters will be
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Explanation:
Acceleration due to gravity on the surface of moon, g
′
=1.7ms
−2
Acceleration due to gravity on the surface of earth, g=9.8ms
−2
Time period of a simple pendulum on earth, T=3.5s
T=2π
g
l
where,
l is the length of the pendulum
∴l=
(2π)
2
T
2
×2
=
4×(3.14)
2
(3.5)
2
×9.8m
The length of pendulum remains constant
On moon's surface, time period, T
′
=2π
g
′
l
=2π
1.7
4×(3.14)
2
(3.5)
2
×9.8
=8.4 s
Hence, the time period of the simple pendulum on the surface of moon is 8.4 s.
hope it helps
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