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The correct answer is option 2: 1, 2, and 4.
Let`s analyze each option:
Option 1: The time period of oscillation of a simple pendulum depends on the length of the pendulum, L. This is because the time taken for one complete oscillation depends on the length of the path traveled by the pendulum bob. Hence, option 1 is correct.
Option 2: The time period of oscillation of a simple pendulum depends on the acceleration due to gravity, g. This is because the force acting on the pendulum bob is the gravitational force, which is directly proportional to the acceleration due to gravity. Therefore, if g changes, the time period of the pendulum will change as well. Hence, option 2 is correct.
Option 3: The time period of oscillation of a simple pendulum does not depend upon the mass of the bob, m. This is because the mass does not affect the forces acting on the pendulum bob or the length of the path traveled by it. Therefore, option 3 is incorrect.
Option 4: The time period of oscillation of a simple pendulum does not depend upon the amplitude of the pendulum, A. The amplitude refers to the maximum