Final answer:
The atmospheric pressure in Jupiter's core is approximately 100 million times greater than on Earth's surface, which is the option (a) 100 million.
Step-by-step explanation:
The question asks approximately how many times greater the atmospheric pressure in Jupiter's core is compared to Earth's surface. According to theoretical models, the central pressure of Jupiter is greater than 100 million bars. In contrast, the earth has a central pressure of about 1.013 bars at sea level. Thus, the atmospheric pressure in Jupiter's core is approximately 100 million times greater than on Earth's surface, making the correct answer (a) 100 million.