The acceleration due to gravity on the surface of the moon is 1.7m/s2. What is the time period of a simple pendulum on the surface of moon if it’s time period on the surface earth is 3.5 seconds?(g on the surface of earth is 9.8m/s2).
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a
8.4 seconds
b
9.2 seconds
c
7.4 seconds
d
6.4 seconds
answer is A.
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Detailed Solution
Given gm=1.7ms-2 ge=9.8ms-2Time period on Earth=Te=3.5seconds As Te=2πlge Time period on moon=Tm=2πlgm ratio of above two equations is, TmTe=gegm Tm=Tegegm Tm=3.59.81.7=8.4 seconds