Question: Shorter wavelengths (higher frequencies) correspond to higher energies and thus hotter star temperatures. Would a star that is significantly cooler than the sun, which is outputting blue light which is higher in frequency that the yellow light of the Sun, be hotter or colder??
Answer: colder?

Question: Larger telescopes can collect more light and see finer details than smaller telescopes. Roger liked to hike up mountains with his telescope to get away from the lights of the city. This trip, his back is not hurting him, so Roger packs a heavy-weight larger telescope than he normally brings, but opts to climb a lower mountain than usual. In spite of getting away from the city lights and being atop the mountain, with this larger telescope, the amount of detail that Roger will be able to see is expected to be more or less?
Answer: more

Question: People in the richer nations of the world use far more energy, especially energy from fossil fuels, than people in the poorer nations do. If America is a poor nation and China is a rich nation, then America's energy usage compared to China's is greater or smaller?
Answer:
smaller