The period T of a simple pendulum is the time taken for one complete small oscillation. T varies directly with the square root of its length L. When the length of the pendulum is 98 cm, the period is exactly 2 seconds.
i) What length should the pendulum be if its period is to be halved?
ii) A grandfather clock is regulated by this pendulum. The pendulum is lengthened to 1 m and the clock started at noon. Calculate the actual time, to the nearest second, when the clock first shows 1 o'clock.
For i) I worked out the length as 1/4 and ii) the time is 2:01. My answers dont look right. Could someone please help?