If in a simple pendulum experiment the length of the inextensible string is increased by a factor or four, its period is increased by a factor of?
Answer Details
The period of a pendulum is the time it takes for one complete cycle of swinging back and forth. The period of a simple pendulum is determined by the length of the pendulum and the acceleration due to gravity.
If the length of the pendulum is increased by a factor of four, then the period of the pendulum will also increase by a factor of two. This is because the period of a simple pendulum is proportional to the square root of its length.
So, if the length of the pendulum is increased by a factor of four, the period will increase by a factor of the square root of four, which is equal to two.
Therefore, the answer is 2.