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  4. After how much time a pendulum clock will indicate the correct time again? if it with a 12 hour dial happens to gain 1 min/day. (After setting the clock to the correct time)

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Q. After how much time a pendulum clock will indicate the correct time again? if it with a $12$ hour dial happens to gain $1$ min/day. (After setting the clock to the correct time)

NTA AbhyasNTA Abhyas 2022

Solution:

The clock shows the correct time after $12$ hour. The total time gained by the pendulum clock can be given by,
$T=12\times 60=720$ minutes.
Since gain is $1$ min/day; hence $720$ days the pendulum clock will indicate the correct time again.