Final answer:
Statements A and D regarding asteroids in Jupiter's orbit and Kirkwood's gaps are correct, while B and C about geological activity and spherical shapes of most asteroids are incorrect.
Step-by-step explanation:
Based on the information provided about asteroids, we can determine the accuracy of the statements in question:
- A) There are some asteroids found in Jupiter's orbit. This is correct. There are indeed asteroids found in Jupiter's orbit, known as Trojans and Greeks, and they are grouped at two gravitational stability points known as Lagrange points.
- B) Most asteroids show evidence of geological activity. This is generally incorrect. Most asteroids, especially the smaller ones, show little to no geological activity, although a few larger ones like Ceres and Vesta display signs of past geological processes.
- C) Most asteroids are spherical. This is incorrect. Most asteroids are not spherical, but rather irregularly shaped due to their small sizes which do not allow for sufficient gravitational pull to form a spherical shape.
- D) Kirkwood's gaps are caused by Jupiter. This statement is correct. Kirkwood's gaps in the asteroid belt are areas with fewer asteroids that result from orbital resonances with Jupiter.