Calculate the angular resolution of radio interferometer with a base line of 10000 km and an operating wavelength of 0.1 m.

In the dark, your pupil (the aperture of your eye) expands to a diameter of 7 mm. How many times more light can be gathered by a telescope with a 5.5 m diameter than by a fully dark- adapted eye? Increase in light gathered = I times

Astronauts observing from a space station need a telescope with a resolving power of 0.6 arc second at a wavelength of 530 nm and a magnifying power of 220. Design a telescope to meet their needs. (State the necessary primary diameter of the telescope, in m, and the ratio of the focal lengths below.)   What will its light-gathering power be, compared with a dark-adapted human eye? (Assume that the pupil of your eye can open to a diameter of about 0.8 cm in dark conditions.)

What is the frequency (in Hertz) of blue light that has a wavelength of 433 nm? [Hint: Write your answer in scientific notation such as 314569000 = 3.14e8, correct up to the second decimal place]