Given below are two statements:
Statement I: A second's pendulum has a time period of 1 second.
Statement II: It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the options given below

A second's pendulum is defined as a pendulum whose time period is 2 seconds, not 1 second. The name "second's pendulum" comes from the fact that each half-swing (from one extreme to the other) takes exactly 1 second, which was useful for clock mechanisms that tick once per second.

Statement I says "A second's pendulum has a time period of 1 second." This is false, because the time period is 2 seconds.

Statement II says "It takes precisely one second to move between the two extreme positions." The time to move from one extreme to the other is half the time period, i.e., $$\frac{T}{2} = \frac{2}{2} = 1$$ second. This is true.

Therefore, Statement I is false but Statement II is true.