A simple pendulum consists of a brass sphere of mass m = 1 kg suspended on a string of length L 1 meter. The pendulum oscillates with amplitude A = 1 cm and period T = 2 seconds. Which of the following alterations will change the period of the pendulum’s oscil- lations to T′ = 1 second?

1. Using a shorter string of length L' ˜ 0.5meters.
2. Reducing the oscillation amplitude to A' =0.25cm
3. Using a heavier brass sphere of mass m' ˜ 4Kg.
4. Increasing the oscillation amplitude to A' =4cm.
5. Using a longer string of length L' ˜ 2meters
6.Using a shorter string of length L' ˜ 0.25meters
7. Using a longer string of length L' ˜ 4 meters
8. Using a lighter brass sphere of mass m' ˜ 0.25Kg.