The correct answer is D. All are correct.
The time period of a simple pendulum is the time it takes for the pendulum to complete one full swing, from its starting point to its highest point and back again. It is given by the formula:
$$T = 2\pi\sqrt{\frac{L}{g}}$$
where $L$ is the length of the pendulum and $g$ is the acceleration due to gravity.
The mass of the suspended particle does not affect the time period of the pendulum. This is because the force of gravity acting on the particle is proportional to its mass, and the centripetal force acting on the particle is also proportional to its mass. These two forces balance each other out, so the mass of the particle does not affect the motion of the pendulum.
The acceleration due to gravity does affect the time period of the pendulum. This is because the acceleration due to gravity is the force that causes the pendulum to swing. The greater the acceleration due to gravity, the faster the pendulum will swing.
Therefore, the time period of a simple pendulum depends on both the length of the pendulum and the acceleration due to gravity.