Final answer:
The statement is True. Rings within the Roche limit consist of particles on Keplerian orbits, where tidal forces from the planet overshadow the particles' self-gravity, leading to ring formation rather than larger bodies.
Step-by-step explanation:
The statement that rings are made of small particles on Keplerian orbits inside the Roche limit, where the tidal forces of the planet are stronger than the self-gravity of these orbiting objects, is True. Planetary gravity can indeed tear apart or prevent the coalescence of small particles into larger bodies within the Roche limit, resulting in ring structures composed of numerous small particles. The particles in a ring follow Kepler's laws as they orbit around the planet, much like tiny moons, with inner particles revolving faster than those farther out.
Tidal forces, originating from a planet's gravitational field, can disrupt large bodies or inhibit the formation of moons from ring particles, leading to the creation of rings through a breakup or a failed moon hypothesis. This can occur within the Roche limit, a region close to a planet where these strong tidal forces prevail. In the case of Saturn's rings, for example, these are thought to be relatively young and likely formed from such breakups, as evidenced by Enceladus contributing to the E Ring through water eruptions.