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The time period of a pendulum on the sur...

The time period of a pendulum on the surfacce of the moon is 5s. If it is a seconds pendulum on earth and the acceleratio due to gravity on the earth is `9.8 m s^(-2)`, find the acceleration due to gravity on the surface of the moon.

Text Solution

Verified by Experts

`T alpha sqrt((1)/(g))`
`(T_(E))/(T_(M)) = sqrt((g_(M))/(g_(E)))`
`(2)/(5) = sqrt((g_(M))/(g))`
`(4)/(25) = (g_(M))/(g)`
`g_(M) = (4)/(25) xx 9.8 ( :' g = 9.8 ms^(-2))`
`= 1.6 s^(-2)`
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