In simple harmonic motion (SHM), the time period of oscillation remains constant regardless of the amplitude. The time period refers to the time taken for one complete cycle of oscillation, which includes moving from one extreme position to the other and back again.
The time period of SHM is determined by the properties of the system, such as the mass and the spring constant, and it is not affected by the amplitude of the motion. Therefore, whether the amplitude is increased or decreased, the time period remains the same.
However, it is important to note that the distance covered in one cycle of oscillation is directly proportional to the amplitude. So, when the amplitude is increased, the oscillating object covers a greater distance in each cycle. This means that it takes more time to travel the increased distance, resulting in a longer time to complete one cycle of oscillation. Similarly, a smaller amplitude would result in a shorter distance covered in one cycle and a shorter time for oscillation.
To summarize, an increased amplitude in simple harmonic motion does not affect the time period of oscillation, but it does affect the distance covered in each cycle, which in turn affects the time taken to complete one cycle.