Angular Shm

A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is at a distance of from the mean position. The time period of oscillation is:
1.
2.
3.
4.

Two pendulums of length and start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:

1.		2.
3.		4.

If the mass of a bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is times its original time period. The value of is:

1.		2.
3.		4.