The time period of a pendulum clock depends on the length of the pendulum. The time period is the time it takes for the pendulum to complete one full swing, or one oscillation.
![Time Period of a Pendulum Clock](http://licchavilyceum.com/wp-content/uploads/2023/04/Pendulum.png)
The time period of a simple pendulum can be calculated using the formula:
T = 2π√(L/g)
Where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity (approximately 9.81 m/s^2).
For example, if the length of the pendulum is 1 meter, then the time period would be:
T = 2π√(1/9.81) ≈ 2.006 seconds
Therefore, for a pendulum clock with a pendulum of length 1 meter, the time period would be approximately 2 seconds. In practice, pendulum clocks are typically designed with a pendulum length that results in a time period of one second, making it easier to measure time accurately.
Q. The time period of a pendulum clock (Length of 1 Meter) is
(A) 1 second
(B) 2 second
(C) 1 minute
(D) 1 hour
(E) None of the above/ More than one of the above
Ans: (B)
Solution: The time period of oscillation of a wave is defined as the time taken by any element of the string to complete one such oscillation. A pendulum clock takes 1 second to move from one extreme to the other extreme. As a result, one oscillation takes 2 seconds.
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