Final answer:
A telescope with the largest mirror designed for observing faint objects is the European Extremely Large Telescope (E-ELT), featuring a 39.3-meter primary mirror composed of 798 hexagonal segments. The correct answer is option 1.
Step-by-step explanation:
The instrument that will have the largest mirror ever put into space for observing faint objects is a telescope. Telescopes are designed to collect and focus light, allowing us to observe distant and faint celestial bodies with greater detail.
The European Extremely Large Telescope (E-ELT), which is currently under construction, will have a 39.3-meter primary mirror composed of 798 hexagonal segments. This mirror's unprecedented size will enable the collection of more light, significantly enhancing our ability to study the cosmos. Additionally, the James Webb Space Telescope, with a 6.5-meter primary mirror, is also designed for observing the universe, specifically optimized for infrared observations.