Question
A simple pendulum clock is taken to a height 64 km from the surface of the earth. How much will it lose or gain in a day?
Solution
Time period of the simple pendulum is given by,
At height h, acceleration due to gravity is,
Since h<< R,
The time period of simple pendulum clock at height h is,
That is, percentage increase in time period of oscillation is,
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The time period of oscillation increases.
Therefore, the clock will lose time in a day.
Percentage increase in time period is 1%,
therefore, it will lose
seconds in a day.
That is, percentage increase in time period of oscillation is,
The time period of oscillation increases.
Therefore, the clock will lose time in a day.
Percentage increase in time period is 1%,
therefore, it will lose
seconds in a day. 
