The acceleration due to gravity on the surface of moon is 1.7 m/sec2. What is the time period of a simple pendulum on the moon if its time period is 3.5 sec on earth?
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Let T1 and T2 are the time periods of the pendulums on the earth and moon respectively.Similarly if corresponding accelerations due to gravity are g1 and g2 then for a simple pendulum of length l, we have
T1=2π√(l/g1) and
T2=2π√(l/g2)
This gives
T1/T2=√(g2/g1)
Or
T2=T1√(g1/g2)
Putting the values of different quantities we get time period on moon as
T2=3.5√(9.8/1.7)
=8.4 s
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