Problem: In 2007, it was discovered that the upper troposphere of Neptune's south pole was about 10 K warmer than the rest of its atmosphere, which averages approximately 73 K (−200 °C). The temperature differential is enough to let methane, which elsewhere is frozen in the troposphere, escape into the stratosphere near the pole. The relative "hot spot" is due to Neptune's axial tilt, which has exposed the south pole to the Sun for the last quarter of Neptune's year, or roughly 40 Earth years. As Neptune slowly moves towards the opposite side of the Sun, the south pole will be darkened and the north pole illuminated, causing the methane release to shift to the north pole.
How many earth years is Neptune's south pole exposed to the sun?
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Answer: 40


Problem: India started the construction of a 40,000-tonne, 260-metre-long (850 ft) Vikrant-class aircraft carrier in 2009. The new carrier will operate MiG-29K and naval HAL Tejas aircraft along with the Indian-made helicopter HAL Dhruv. The ship will be powered by four gas-turbine engines and will have a range of 8,000 nautical miles (15,000 kilometres), carrying 160 officers, 1,400 sailors, and 30 aircraft. The carrier is being constructed by Cochin Shipyard. The ship was launched in August 2013 and is scheduled for commissioning in 2018.
What will power the Indian-made ship?
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Answer: four gas-turbine engines


Problem: In the semiconductor industry, infrared light can be used to characterize materials such as thin films and periodic trench structures. By measuring the reflectance of light from the surface of a semiconductor wafer, the index of refraction (n) and the extinction Coefficient (k) can be determined via the Forouhi-Bloomer dispersion equations. The reflectance from the infrared light can also be used to determine the critical dimension, depth, and sidewall angle of high aspect ratio trench structures.
What equations are used to figure out the index of refraction and extinction Coefficient?
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Answer:
Forouhi-Bloomer dispersion